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Biblioteca

MARC Lista (tabellare)
Groups and symmetries : from finite groups to lie groups / / Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer
Groups and symmetries : from finite groups to lie groups / / Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer
Autore Kosmann-Schwarzbach Yvette <1941->
Edizione [Second edition.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (266 pages)
Disciplina 512.2
Collana Universitext
Soggetto topico Finite groups
Representations of groups
Lie groups
Representacions de grups
Grups finits
Grups de Lie
Soggetto genere / forma Llibres electrònics
ISBN 3-030-94360-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910584478303321
Kosmann-Schwarzbach Yvette <1941->  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups and symmetries : from finite groups to lie groups / / Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer
Groups and symmetries : from finite groups to lie groups / / Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer
Autore Kosmann-Schwarzbach Yvette <1941->
Edizione [Second edition.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (266 pages)
Disciplina 512.2
Collana Universitext
Soggetto topico Finite groups
Representations of groups
Lie groups
Representacions de grups
Grups finits
Grups de Lie
Soggetto genere / forma Llibres electrònics
ISBN 3-030-94360-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996483154603316
Kosmann-Schwarzbach Yvette <1941->  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Groups of prime power order . Volume 6 / / Yakov G. Berkovich and Zvonimir Janko
Groups of prime power order . Volume 6 / / Yakov G. Berkovich and Zvonimir Janko
Autore Berkovich Yakov G.
Pubbl/distr/stampa Berlin ; ; Boston : , : De Gruyter, , [2018]
Descrizione fisica 1 online resource (410 pages)
Disciplina 512.2
Collana De Gruyter expositions in mathematics
Soggetto topico Finite groups
Soggetto genere / forma Electronic books.
ISBN 3-11-053100-3
3-11-053314-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Preface -- § 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent > p -- § 258 2-groups with some prescribed minimal nonabelian subgroups -- § 259 Nonabelian p-groups, p > 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3 -- § 260 p-groups with many modular subgroups Mpn -- § 261 Nonabelian p-groups of exponent > p with a small number of maximal abelian subgroups of exponent > p -- § 262 Nonabelian p-groups all of whose subgroups are powerful -- § 263 Nonabelian 2-groups G with CG(x) ≤ H for all H ∈ Γ1 and x ∈ H − Z(G) -- § 264 Nonabelian 2-groups of exponent ≥ 16 all of whose minimal nonabelian subgroups, except one, have order 8 -- § 265 p-groups all of whose regular subgroups are either absolutely regular or of exponent p -- § 266 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups with a nontrivial intersection are non-isomorphic -- § 267 Thompson's A × B lemma -- § 268 On automorphisms of some p-groups -- § 269 On critical subgroups of p-groups -- § 270 p-groups all of whose Ak-subgroups for a fixed k > 1 are metacyclic -- § 271 Two theorems of Blackburn -- § 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian -- § 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian -- § 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other -- § 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups -- § 276 2-groups all of whose maximal subgroups, except one, are Dedekindian -- § 277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups -- § 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p -- § 279 Subgroup characterization of some p-groups of maximal class and close to them -- § 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic -- § 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection -- § 282 p-groups with large normal closures of nonnormal subgroups -- § 283 Nonabelian p-groups with many cyclic centralizers -- § 284 Nonabelian p-groups, p > 2, of exponent > p2 all of whose minimal nonabelian subgroups are of order p3 -- § 285 A generalization of Lemma 57.1 -- § 286 Groups ofexponent p with many normal subgroups -- § 287 p-groups in which the intersection of any two nonincident subgroups is normal -- § 288 Nonabelian p-groups in which for every minimal nonabelian M < G and x ∈ G − M, we have CM(x) = Z(M) -- § 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate -- § 290 Non-Dedekindian p-groups G with a noncyclic proper subgroup H such that each subgroup which is nonincident with H is normal in G -- § 291 Nonabelian p-groups which are generated by a fixed maximal cyclic subgroup and any minimal nonabelian subgroup -- § 292 Nonabelian p-groups generated by any two non-conjugate minimal nonabelian subgroups -- § 293 Exercises -- § 294 p-groups, p > 2, whose Frattini subgroup is nonabelian metacyclic -- § 295 Any irregular p-group contains a non-isolated maximal regular subgroup -- § 296 Non-Dedekindian p-groups all of whose nonnormal maximal cyclic subgroups are C-equivalent -- § 298 Non-Dedekindian p-groups all of whose subgroups of order ≤ ps (s ≥ 1 fixed) are normal -- § 299 On p'-automorphisms of p-groups -- § 300 On p-groups all of whose maximal subgroups of exponent p are normal and have order pp -- § 301 p-groups of exponent > p containing < p maximal abelian subgroups of exponent > p -- § 302 Alternate proof of Theorem 109.1 -- § 303 Nonabelian p-groups of order > p4 all of whose subgroups of order p4 are isomorphic -- § 304 Non-Dedekindian p-groups in which each nonnormal subgroup has a cyclic complement in its normalizer -- § 305 Nonabelian p-groups G all of whose minimal nonabelian subgroups M satisfy Z(M) ≤ Z(G) -- § 306 Nonabelian 2-groups all of whose maximal subgroups, except one, are quasi-Hamiltonian or abelian -- § 307 Nonabelian p-groups, p > 2, all of whose maximal subgroups, except one, are quasi-Hamiltonian or abelian -- § 308 Nonabelian p-groups with an elementary abelian intersection of any two distinct maximal abelian subgroups -- § 309 Minimal non-p-central p-groups -- § 310 Nonabelian p-groups in which each element in any minimal nonabelian subgroup is half-central -- § 311 Nonabelian p-groups G of exponent p in which CG(x) = G for all noncentral x ∈ G -- § 312 Nonabelian 2-groups all of whose minimal nonabelian subgroups, except one, are isomorphic to M2(2, 2) = -- § 313 Non-Dedekindian 2-groups all of whose maximal Dedekindian subgroups have index 2 -- § 314 Theorem of Glauberman-Mazza on p-groups with a nonnormal maximal elementary abelian subgroup of order p2 -- § 315 p-groups with some non-p-central maximal subgroups -- § 316 Nonabelian p-groups, p > 2, of exponent > p3 all of whose minimal nonabelian subgroups, except one, have order p3 -- § 317 Nonabelian p-groups, p > 2, all of whose minimal nonabelian subgroups are isomorphic to Mp(2, 2) -- § 318 Nonabelian p-groups, p > 2, of exponent > p2 all of whose minimal nonabelian subgroups, except one, are isomorphic to Mp(2, 2) -- § 319 A new characterization of p-central p-groups -- § 320 Nonabelian p-groups with exactly one non-p-central minimal nonabelian subgroup -- § 321 Nonabelian p-groups G in which each element in G − Φ(G) is half-central -- § 322 Nonabelian p-groups G such that CG(H) = Z(G) for any nonabelian H ≤ G -- § 323 Nonabelian p-groups that are not generated by its noncyclic abelian subgroups -- § 324 A separation of metacyclic and nonmetacyclic minimal nonabelian subgroups in nonabelian p-groups -- § 325 p-groups which are not generated by their nonnormal subgroups, 2 -- § 326 Nonabelian p-groups all of whose maximal abelian subgroups are normal -- Appendix 110 Non-absolutely regular p-groups all of whose maximal absolutely regular subgroups have index p -- Appendix 111 Nonabelian p-groups of exponent > p all of whose maximal abelian subgroups of exponent > p are isolated -- Appendix 112 Metacyclic p-groups with an abelian maximal subgroup -- Appendix 113 Nonabelian p-groups with a cyclic intersection of any two distinct maximal abelian subgroups -- Appendix 114 An analog of Thompson's dihedral lemma -- Appendix 115 Some results from Thompson' papers and the Odd Order paper -- Appendix 116 On normal subgroups of a p-group -- Appendix 117 Theorem of Mann -- Appendix 118 On p-groups with given isolated subgroups -- Appendix 119 Two-generator normal subgroups of a p-group G that contained in Φ(G) are metacyclic -- Appendix 120 Alternate proofs of some counting theorems -- Appendix 121 On p-groups of maximal class -- Appendix 122 Criteria of regularity -- Appendix 123 Nonabelian p-groups in which any two nonincident subgroups have an abelian intersection -- Appendix 124 Characterizations of the p-groups of maximal class and the primary ECF-groups -- Appendix 125 Nonabelian p-groups all of whose proper nonabelian subgroups have exponent p -- Appendix 126 On p-groups with abelian automorphism groups -- Appendix 127 Alternate proof of Proposition 1.23 -- Appendix 128 Alternate proof of the theorem of Passman on p-groups all of whose subgroups of order ≤ ps (s ≥ 1 is fixed) are normal -- Appendix 129 Alternate proofs of Theorems 309.1 and 309.2 on minimal non-p-central p-groups -- Appendix 130 Non-Dedekindian p-groups all of whose nonnormal maximal cyclic subgroups are conjugate -- Appendix 131 A characterization of some 3-groups of maximal class -- Appendix 132 Alternate approach to classification of minimal non-p-central p-groups -- Appendix 133 Nonabelian p-groups all of whose minimal nonabelian subgroups are isomorphic to Mp(n, n) or Mp(n, n, 1) for a fixed natural n > 1 -- Appendix 134 On irregular p-groups G = Ω1(G) without subgroup of order pp+1 and exponent p -- Appendix 135 Nonabelian 2-groups of given order with
maximal possible number of involutions -- Appendix 136 On metacyclic p-groups -- Appendix 137 Alternate proof of Lemma 207.1 -- Appendix 138 Subgroup characterization of a p-group of maximal class with an abelian subgroup of index p -- Research problems and themes VI -- Bibliography -- Author index -- Subject index
Record Nr. UNINA-9910466733103321
Berkovich Yakov G.  
Berlin ; ; Boston : , : De Gruyter, , [2018]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups of prime power order . volume 6 / / Yakov G. Berkovich and Zvonimir Janko
Groups of prime power order . volume 6 / / Yakov G. Berkovich and Zvonimir Janko
Autore Berkovich Yakov G.
Pubbl/distr/stampa Berlin ; ; Boston : , : De Gruyter, , [2018]
Descrizione fisica 1 online resource (410 pages)
Disciplina 512.2
Collana De Gruyter expositions in mathematics
Soggetto topico Finite groups
ISBN 3-11-053100-3
3-11-053314-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Preface -- § 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent > p -- § 258 2-groups with some prescribed minimal nonabelian subgroups -- § 259 Nonabelian p-groups, p > 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3 -- § 260 p-groups with many modular subgroups Mpn -- § 261 Nonabelian p-groups of exponent > p with a small number of maximal abelian subgroups of exponent > p -- § 262 Nonabelian p-groups all of whose subgroups are powerful -- § 263 Nonabelian 2-groups G with CG(x) ≤ H for all H ∈ Γ1 and x ∈ H − Z(G) -- § 264 Nonabelian 2-groups of exponent ≥ 16 all of whose minimal nonabelian subgroups, except one, have order 8 -- § 265 p-groups all of whose regular subgroups are either absolutely regular or of exponent p -- § 266 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups with a nontrivial intersection are non-isomorphic -- § 267 Thompson's A × B lemma -- § 268 On automorphisms of some p-groups -- § 269 On critical subgroups of p-groups -- § 270 p-groups all of whose Ak-subgroups for a fixed k > 1 are metacyclic -- § 271 Two theorems of Blackburn -- § 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian -- § 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian -- § 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other -- § 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups -- § 276 2-groups all of whose maximal subgroups, except one, are Dedekindian -- § 277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups -- § 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p -- § 279 Subgroup characterization of some p-groups of maximal class and close to them -- § 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic -- § 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection -- § 282 p-groups with large normal closures of nonnormal subgroups -- § 283 Nonabelian p-groups with many cyclic centralizers -- § 284 Nonabelian p-groups, p > 2, of exponent > p2 all of whose minimal nonabelian subgroups are of order p3 -- § 285 A generalization of Lemma 57.1 -- § 286 Groups ofexponent p with many normal subgroups -- § 287 p-groups in which the intersection of any two nonincident subgroups is normal -- § 288 Nonabelian p-groups in which for every minimal nonabelian M < G and x ∈ G − M, we have CM(x) = Z(M) -- § 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate -- § 290 Non-Dedekindian p-groups G with a noncyclic proper subgroup H such that each subgroup which is nonincident with H is normal in G -- § 291 Nonabelian p-groups which are generated by a fixed maximal cyclic subgroup and any minimal nonabelian subgroup -- § 292 Nonabelian p-groups generated by any two non-conjugate minimal nonabelian subgroups -- § 293 Exercises -- § 294 p-groups, p > 2, whose Frattini subgroup is nonabelian metacyclic -- § 295 Any irregular p-group contains a non-isolated maximal regular subgroup -- § 296 Non-Dedekindian p-groups all of whose nonnormal maximal cyclic subgroups are C-equivalent -- § 298 Non-Dedekindian p-groups all of whose subgroups of order ≤ ps (s ≥ 1 fixed) are normal -- § 299 On p'-automorphisms of p-groups -- § 300 On p-groups all of whose maximal subgroups of exponent p are normal and have order pp -- § 301 p-groups of exponent > p containing < p maximal abelian subgroups of exponent > p -- § 302 Alternate proof of Theorem 109.1 -- § 303 Nonabelian p-groups of order > p4 all of whose subgroups of order p4 are isomorphic -- § 304 Non-Dedekindian p-groups in which each nonnormal subgroup has a cyclic complement in its normalizer -- § 305 Nonabelian p-groups G all of whose minimal nonabelian subgroups M satisfy Z(M) ≤ Z(G) -- § 306 Nonabelian 2-groups all of whose maximal subgroups, except one, are quasi-Hamiltonian or abelian -- § 307 Nonabelian p-groups, p > 2, all of whose maximal subgroups, except one, are quasi-Hamiltonian or abelian -- § 308 Nonabelian p-groups with an elementary abelian intersection of any two distinct maximal abelian subgroups -- § 309 Minimal non-p-central p-groups -- § 310 Nonabelian p-groups in which each element in any minimal nonabelian subgroup is half-central -- § 311 Nonabelian p-groups G of exponent p in which CG(x) = G for all noncentral x ∈ G -- § 312 Nonabelian 2-groups all of whose minimal nonabelian subgroups, except one, are isomorphic to M2(2, 2) = -- § 313 Non-Dedekindian 2-groups all of whose maximal Dedekindian subgroups have index 2 -- § 314 Theorem of Glauberman-Mazza on p-groups with a nonnormal maximal elementary abelian subgroup of order p2 -- § 315 p-groups with some non-p-central maximal subgroups -- § 316 Nonabelian p-groups, p > 2, of exponent > p3 all of whose minimal nonabelian subgroups, except one, have order p3 -- § 317 Nonabelian p-groups, p > 2, all of whose minimal nonabelian subgroups are isomorphic to Mp(2, 2) -- § 318 Nonabelian p-groups, p > 2, of exponent > p2 all of whose minimal nonabelian subgroups, except one, are isomorphic to Mp(2, 2) -- § 319 A new characterization of p-central p-groups -- § 320 Nonabelian p-groups with exactly one non-p-central minimal nonabelian subgroup -- § 321 Nonabelian p-groups G in which each element in G − Φ(G) is half-central -- § 322 Nonabelian p-groups G such that CG(H) = Z(G) for any nonabelian H ≤ G -- § 323 Nonabelian p-groups that are not generated by its noncyclic abelian subgroups -- § 324 A separation of metacyclic and nonmetacyclic minimal nonabelian subgroups in nonabelian p-groups -- § 325 p-groups which are not generated by their nonnormal subgroups, 2 -- § 326 Nonabelian p-groups all of whose maximal abelian subgroups are normal -- Appendix 110 Non-absolutely regular p-groups all of whose maximal absolutely regular subgroups have index p -- Appendix 111 Nonabelian p-groups of exponent > p all of whose maximal abelian subgroups of exponent > p are isolated -- Appendix 112 Metacyclic p-groups with an abelian maximal subgroup -- Appendix 113 Nonabelian p-groups with a cyclic intersection of any two distinct maximal abelian subgroups -- Appendix 114 An analog of Thompson's dihedral lemma -- Appendix 115 Some results from Thompson' papers and the Odd Order paper -- Appendix 116 On normal subgroups of a p-group -- Appendix 117 Theorem of Mann -- Appendix 118 On p-groups with given isolated subgroups -- Appendix 119 Two-generator normal subgroups of a p-group G that contained in Φ(G) are metacyclic -- Appendix 120 Alternate proofs of some counting theorems -- Appendix 121 On p-groups of maximal class -- Appendix 122 Criteria of regularity -- Appendix 123 Nonabelian p-groups in which any two nonincident subgroups have an abelian intersection -- Appendix 124 Characterizations of the p-groups of maximal class and the primary ECF-groups -- Appendix 125 Nonabelian p-groups all of whose proper nonabelian subgroups have exponent p -- Appendix 126 On p-groups with abelian automorphism groups -- Appendix 127 Alternate proof of Proposition 1.23 -- Appendix 128 Alternate proof of the theorem of Passman on p-groups all of whose subgroups of order ≤ ps (s ≥ 1 is fixed) are normal -- Appendix 129 Alternate proofs of Theorems 309.1 and 309.2 on minimal non-p-central p-groups -- Appendix 130 Non-Dedekindian p-groups all of whose nonnormal maximal cyclic subgroups are conjugate -- Appendix 131 A characterization of some 3-groups of maximal class -- Appendix 132 Alternate approach to classification of minimal non-p-central p-groups -- Appendix 133 Nonabelian p-groups all of whose minimal nonabelian subgroups are isomorphic to Mp(n, n) or Mp(n, n, 1) for a fixed natural n > 1 -- Appendix 134 On irregular p-groups G = Ω1(G) without subgroup of order pp+1 and exponent p -- Appendix 135 Nonabelian 2-groups of given order with
maximal possible number of involutions -- Appendix 136 On metacyclic p-groups -- Appendix 137 Alternate proof of Lemma 207.1 -- Appendix 138 Subgroup characterization of a p-group of maximal class with an abelian subgroup of index p -- Research problems and themes VI -- Bibliography -- Author index -- Subject index
Record Nr. UNINA-9910796980403321
Berkovich Yakov G.  
Berlin ; ; Boston : , : De Gruyter, , [2018]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups of prime power order . volume 6 / / Yakov G. Berkovich and Zvonimir Janko
Groups of prime power order . volume 6 / / Yakov G. Berkovich and Zvonimir Janko
Autore Berkovich Yakov G.
Pubbl/distr/stampa Berlin ; ; Boston : , : De Gruyter, , [2018]
Descrizione fisica 1 online resource (410 pages)
Disciplina 512.2
Collana De Gruyter expositions in mathematics
Soggetto topico Finite groups
ISBN 3-11-053100-3
3-11-053314-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Preface -- § 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent > p -- § 258 2-groups with some prescribed minimal nonabelian subgroups -- § 259 Nonabelian p-groups, p > 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3 -- § 260 p-groups with many modular subgroups Mpn -- § 261 Nonabelian p-groups of exponent > p with a small number of maximal abelian subgroups of exponent > p -- § 262 Nonabelian p-groups all of whose subgroups are powerful -- § 263 Nonabelian 2-groups G with CG(x) ≤ H for all H ∈ Γ1 and x ∈ H − Z(G) -- § 264 Nonabelian 2-groups of exponent ≥ 16 all of whose minimal nonabelian subgroups, except one, have order 8 -- § 265 p-groups all of whose regular subgroups are either absolutely regular or of exponent p -- § 266 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups with a nontrivial intersection are non-isomorphic -- § 267 Thompson's A × B lemma -- § 268 On automorphisms of some p-groups -- § 269 On critical subgroups of p-groups -- § 270 p-groups all of whose Ak-subgroups for a fixed k > 1 are metacyclic -- § 271 Two theorems of Blackburn -- § 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian -- § 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian -- § 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other -- § 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups -- § 276 2-groups all of whose maximal subgroups, except one, are Dedekindian -- § 277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups -- § 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p -- § 279 Subgroup characterization of some p-groups of maximal class and close to them -- § 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic -- § 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection -- § 282 p-groups with large normal closures of nonnormal subgroups -- § 283 Nonabelian p-groups with many cyclic centralizers -- § 284 Nonabelian p-groups, p > 2, of exponent > p2 all of whose minimal nonabelian subgroups are of order p3 -- § 285 A generalization of Lemma 57.1 -- § 286 Groups ofexponent p with many normal subgroups -- § 287 p-groups in which the intersection of any two nonincident subgroups is normal -- § 288 Nonabelian p-groups in which for every minimal nonabelian M < G and x ∈ G − M, we have CM(x) = Z(M) -- § 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate -- § 290 Non-Dedekindian p-groups G with a noncyclic proper subgroup H such that each subgroup which is nonincident with H is normal in G -- § 291 Nonabelian p-groups which are generated by a fixed maximal cyclic subgroup and any minimal nonabelian subgroup -- § 292 Nonabelian p-groups generated by any two non-conjugate minimal nonabelian subgroups -- § 293 Exercises -- § 294 p-groups, p > 2, whose Frattini subgroup is nonabelian metacyclic -- § 295 Any irregular p-group contains a non-isolated maximal regular subgroup -- § 296 Non-Dedekindian p-groups all of whose nonnormal maximal cyclic subgroups are C-equivalent -- § 298 Non-Dedekindian p-groups all of whose subgroups of order ≤ ps (s ≥ 1 fixed) are normal -- § 299 On p'-automorphisms of p-groups -- § 300 On p-groups all of whose maximal subgroups of exponent p are normal and have order pp -- § 301 p-groups of exponent > p containing < p maximal abelian subgroups of exponent > p -- § 302 Alternate proof of Theorem 109.1 -- § 303 Nonabelian p-groups of order > p4 all of whose subgroups of order p4 are isomorphic -- § 304 Non-Dedekindian p-groups in which each nonnormal subgroup has a cyclic complement in its normalizer -- § 305 Nonabelian p-groups G all of whose minimal nonabelian subgroups M satisfy Z(M) ≤ Z(G) -- § 306 Nonabelian 2-groups all of whose maximal subgroups, except one, are quasi-Hamiltonian or abelian -- § 307 Nonabelian p-groups, p > 2, all of whose maximal subgroups, except one, are quasi-Hamiltonian or abelian -- § 308 Nonabelian p-groups with an elementary abelian intersection of any two distinct maximal abelian subgroups -- § 309 Minimal non-p-central p-groups -- § 310 Nonabelian p-groups in which each element in any minimal nonabelian subgroup is half-central -- § 311 Nonabelian p-groups G of exponent p in which CG(x) = G for all noncentral x ∈ G -- § 312 Nonabelian 2-groups all of whose minimal nonabelian subgroups, except one, are isomorphic to M2(2, 2) = -- § 313 Non-Dedekindian 2-groups all of whose maximal Dedekindian subgroups have index 2 -- § 314 Theorem of Glauberman-Mazza on p-groups with a nonnormal maximal elementary abelian subgroup of order p2 -- § 315 p-groups with some non-p-central maximal subgroups -- § 316 Nonabelian p-groups, p > 2, of exponent > p3 all of whose minimal nonabelian subgroups, except one, have order p3 -- § 317 Nonabelian p-groups, p > 2, all of whose minimal nonabelian subgroups are isomorphic to Mp(2, 2) -- § 318 Nonabelian p-groups, p > 2, of exponent > p2 all of whose minimal nonabelian subgroups, except one, are isomorphic to Mp(2, 2) -- § 319 A new characterization of p-central p-groups -- § 320 Nonabelian p-groups with exactly one non-p-central minimal nonabelian subgroup -- § 321 Nonabelian p-groups G in which each element in G − Φ(G) is half-central -- § 322 Nonabelian p-groups G such that CG(H) = Z(G) for any nonabelian H ≤ G -- § 323 Nonabelian p-groups that are not generated by its noncyclic abelian subgroups -- § 324 A separation of metacyclic and nonmetacyclic minimal nonabelian subgroups in nonabelian p-groups -- § 325 p-groups which are not generated by their nonnormal subgroups, 2 -- § 326 Nonabelian p-groups all of whose maximal abelian subgroups are normal -- Appendix 110 Non-absolutely regular p-groups all of whose maximal absolutely regular subgroups have index p -- Appendix 111 Nonabelian p-groups of exponent > p all of whose maximal abelian subgroups of exponent > p are isolated -- Appendix 112 Metacyclic p-groups with an abelian maximal subgroup -- Appendix 113 Nonabelian p-groups with a cyclic intersection of any two distinct maximal abelian subgroups -- Appendix 114 An analog of Thompson's dihedral lemma -- Appendix 115 Some results from Thompson' papers and the Odd Order paper -- Appendix 116 On normal subgroups of a p-group -- Appendix 117 Theorem of Mann -- Appendix 118 On p-groups with given isolated subgroups -- Appendix 119 Two-generator normal subgroups of a p-group G that contained in Φ(G) are metacyclic -- Appendix 120 Alternate proofs of some counting theorems -- Appendix 121 On p-groups of maximal class -- Appendix 122 Criteria of regularity -- Appendix 123 Nonabelian p-groups in which any two nonincident subgroups have an abelian intersection -- Appendix 124 Characterizations of the p-groups of maximal class and the primary ECF-groups -- Appendix 125 Nonabelian p-groups all of whose proper nonabelian subgroups have exponent p -- Appendix 126 On p-groups with abelian automorphism groups -- Appendix 127 Alternate proof of Proposition 1.23 -- Appendix 128 Alternate proof of the theorem of Passman on p-groups all of whose subgroups of order ≤ ps (s ≥ 1 is fixed) are normal -- Appendix 129 Alternate proofs of Theorems 309.1 and 309.2 on minimal non-p-central p-groups -- Appendix 130 Non-Dedekindian p-groups all of whose nonnormal maximal cyclic subgroups are conjugate -- Appendix 131 A characterization of some 3-groups of maximal class -- Appendix 132 Alternate approach to classification of minimal non-p-central p-groups -- Appendix 133 Nonabelian p-groups all of whose minimal nonabelian subgroups are isomorphic to Mp(n, n) or Mp(n, n, 1) for a fixed natural n > 1 -- Appendix 134 On irregular p-groups G = Ω1(G) without subgroup of order pp+1 and exponent p -- Appendix 135 Nonabelian 2-groups of given order with
maximal possible number of involutions -- Appendix 136 On metacyclic p-groups -- Appendix 137 Alternate proof of Lemma 207.1 -- Appendix 138 Subgroup characterization of a p-group of maximal class with an abelian subgroup of index p -- Research problems and themes VI -- Bibliography -- Author index -- Subject index
Record Nr. UNINA-9910807397403321
Berkovich Yakov G.  
Berlin ; ; Boston : , : De Gruyter, , [2018]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups of prime power order . Volume 3 [[electronic resource] /] / Yakov Berkovich, Zvonimir Janko
Groups of prime power order . Volume 3 [[electronic resource] /] / Yakov Berkovich, Zvonimir Janko
Autore Berkovich I͡A. G. <1938->
Pubbl/distr/stampa Berlin, : De Gruyter, 2011
Descrizione fisica 1 online resource (668 p.)
Disciplina 512/.23
Altri autori (Persone) JankoZvonimir <1932->
Collana De Gruyter expositions in mathematics
Groups of prime power order
Soggetto topico Finite groups
Group theory
Soggetto genere / forma Electronic books.
ISBN 1-283-40037-5
9786613400376
3-11-025448-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Preface -- Prerequisites from Volumes 1 and 2 -- §93 Nonabelian 2-groups all of whose minimal nonabelian subgroups are metacyclic and have exponent 4 -- §94 Nonabelian 2-groups all of whose minimal nonabelian subgroups are nonmetacyclic and have exponent 4 -- §95 Nonabelian 2-groups of exponent 2e which have no minimal nonabelian subgroups of exponent 2e -- §96 Groups with at most two conjugate classes of nonnormal subgroups -- §97 p-groups in which some subgroups are generated by elements of order p -- §98 Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic to M2n+1, n 3 fixed -- §99 2-groups with sectional rank at most 4 -- §100 2-groups with exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §101 p-groups G with p > 2 and d(G) = 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §102 p-groups G with p > 2 and d(G) > 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §103 Some results of Jonah and Konvisser -- §104 Degrees of irreducible characters of p-groups associated with finite algebras -- §105 On some special p-groups -- §106 On maximal subgroups of two-generator 2-groups -- §107 Ranks of maximal subgroups of nonmetacyclic two-generator 2-groups -- §108 p-groups with few conjugate classes of minimal nonabelian subgroups -- §109 On p-groups with metacyclic maximal subgroup without cyclic subgroup of index p -- §110 Equilibrated p-groups -- §111 Characterization of abelian and minimal nonabelian groups -- §112 Non-Dedekindian p-groups all of whose nonnormal subgroups have the same order -- §113 The class of 2-groups in §70 is not bounded -- §114 Further counting theorems -- §115 Finite p-groups all of whose maximal subgroups except one are extraspecial -- §116 Groups covered by few proper subgroups -- §117 2-groups all of whose nonnormal subgroups are either cyclic or of maximal class -- §118 Review of characterizations of p-groups with various minimal nonabelian subgroups -- §119 Review of characterizations of p-groups of maximal class -- §120 Nonabelian 2-groups such that any two distinct minimal nonabelian subgroups have cyclic intersection -- §121 p-groups of breadth 2 -- §122 p-groups all of whose subgroups have normalizers of index at most p -- §123 Subgroups of finite groups generated by all elements in two shortest conjugacy classes -- §124 The number of subgroups of given order in a metacyclic p-group -- §125 p-groups G containing a maximal subgroup H all of whose subgroups are G-invariant -- §126 The existence of p-groups G1 G such that Aut(G1) Aut(G) -- §127 On 2-groups containing a maximal elementary abelian subgroup of order 4 -- §128 The commutator subgroup of p-groups with the subgroup breadth 1 -- §129 On two-generator 2-groups with exactly one maximal subgroup which is not two-generator -- §130 Soft subgroups of p-groups -- §131 p-groups with a 2-uniserial subgroup of order p -- §132 On centralizers of elements in p-groups -- §133 Class and breadth of a p-group -- §134 On p-groups with maximal elementary abelian subgroup of order p2 -- §135 Finite p-groups generated by certain minimal nonabelian subgroups -- §136 p-groups in which certain proper nonabelian subgroups are two-generator -- §137 p-groups all of whose proper subgroups have its derived subgroup of order at most p -- §138 p-groups all of whose nonnormal subgroups have the smallest possible normalizer -- §139 p-groups with a noncyclic commutator group all of whose proper subgroups have a cyclic commutator group -- §140 Power automorphisms and the norm of a p-group -- §141 Nonabelian p-groups having exactly one maximal subgroup with a noncyclic center -- §142 Nonabelian p-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian -- §143 Alternate proof of the Reinhold Baer theorem on 2-groups with nonabelian norm -- §144 p-groups with small normal closures of all cyclic subgroups -- Appendix 27 Wreathed 2-groups -- Appendix 28 Nilpotent subgroups -- Appendix 29 Intersections of subgroups -- Appendix 30 Thompson's lemmas -- Appendix 31 Nilpotent p'-subgroups of class 2 in GL(n, p) -- Appendix 32 On abelian subgroups of given exponent and small index -- Appendix 33 On Hadamard 2-groups -- Appendix 34 Isaacs-Passman's theorem on character degrees -- Appendix 35 Groups of Frattini class 2 -- Appendix 36 Hurwitz' theorem on the composition of quadratic forms -- Appendix 37 On generalized Dedekindian groups -- Appendix 38 Some results of Blackburn and Macdonald -- Appendix 39 Some consequences of Frobenius' normal p-complement theorem -- Appendix 40 Varia -- Appendix 41 Nonabelian 2-groups all of whose minimal nonabelian subgroups have cyclic centralizers -- Appendix 42 On lattice isomorphisms of p-groups of maximal class -- Appendix 43 Alternate proofs of two classical theorems on solvable groups and some related results -- Appendix 44 Some of Freiman's results on finite subsets of groups with small doubling -- Research problems and themes III -- Author index -- Subject index
Record Nr. UNINA-9910456564003321
Berkovich I͡A. G. <1938->  
Berlin, : De Gruyter, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups of prime power order . Volume 3 [[electronic resource] /] / Yakov Berkovich, Zvonimir Janko
Groups of prime power order . Volume 3 [[electronic resource] /] / Yakov Berkovich, Zvonimir Janko
Autore Berkovich I͡A. G. <1938->
Pubbl/distr/stampa Berlin, : De Gruyter, 2011
Descrizione fisica 1 online resource (668 p.)
Disciplina 512/.23
Altri autori (Persone) JankoZvonimir <1932->
Collana De Gruyter expositions in mathematics
Groups of prime power order
Soggetto topico Finite groups
Group theory
Soggetto non controllato Group Theory
Order
Primes
ISBN 1-283-40037-5
9786613400376
3-11-025448-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Preface -- Prerequisites from Volumes 1 and 2 -- §93 Nonabelian 2-groups all of whose minimal nonabelian subgroups are metacyclic and have exponent 4 -- §94 Nonabelian 2-groups all of whose minimal nonabelian subgroups are nonmetacyclic and have exponent 4 -- §95 Nonabelian 2-groups of exponent 2e which have no minimal nonabelian subgroups of exponent 2e -- §96 Groups with at most two conjugate classes of nonnormal subgroups -- §97 p-groups in which some subgroups are generated by elements of order p -- §98 Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic to M2n+1, n 3 fixed -- §99 2-groups with sectional rank at most 4 -- §100 2-groups with exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §101 p-groups G with p > 2 and d(G) = 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §102 p-groups G with p > 2 and d(G) > 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §103 Some results of Jonah and Konvisser -- §104 Degrees of irreducible characters of p-groups associated with finite algebras -- §105 On some special p-groups -- §106 On maximal subgroups of two-generator 2-groups -- §107 Ranks of maximal subgroups of nonmetacyclic two-generator 2-groups -- §108 p-groups with few conjugate classes of minimal nonabelian subgroups -- §109 On p-groups with metacyclic maximal subgroup without cyclic subgroup of index p -- §110 Equilibrated p-groups -- §111 Characterization of abelian and minimal nonabelian groups -- §112 Non-Dedekindian p-groups all of whose nonnormal subgroups have the same order -- §113 The class of 2-groups in §70 is not bounded -- §114 Further counting theorems -- §115 Finite p-groups all of whose maximal subgroups except one are extraspecial -- §116 Groups covered by few proper subgroups -- §117 2-groups all of whose nonnormal subgroups are either cyclic or of maximal class -- §118 Review of characterizations of p-groups with various minimal nonabelian subgroups -- §119 Review of characterizations of p-groups of maximal class -- §120 Nonabelian 2-groups such that any two distinct minimal nonabelian subgroups have cyclic intersection -- §121 p-groups of breadth 2 -- §122 p-groups all of whose subgroups have normalizers of index at most p -- §123 Subgroups of finite groups generated by all elements in two shortest conjugacy classes -- §124 The number of subgroups of given order in a metacyclic p-group -- §125 p-groups G containing a maximal subgroup H all of whose subgroups are G-invariant -- §126 The existence of p-groups G1 G such that Aut(G1) Aut(G) -- §127 On 2-groups containing a maximal elementary abelian subgroup of order 4 -- §128 The commutator subgroup of p-groups with the subgroup breadth 1 -- §129 On two-generator 2-groups with exactly one maximal subgroup which is not two-generator -- §130 Soft subgroups of p-groups -- §131 p-groups with a 2-uniserial subgroup of order p -- §132 On centralizers of elements in p-groups -- §133 Class and breadth of a p-group -- §134 On p-groups with maximal elementary abelian subgroup of order p2 -- §135 Finite p-groups generated by certain minimal nonabelian subgroups -- §136 p-groups in which certain proper nonabelian subgroups are two-generator -- §137 p-groups all of whose proper subgroups have its derived subgroup of order at most p -- §138 p-groups all of whose nonnormal subgroups have the smallest possible normalizer -- §139 p-groups with a noncyclic commutator group all of whose proper subgroups have a cyclic commutator group -- §140 Power automorphisms and the norm of a p-group -- §141 Nonabelian p-groups having exactly one maximal subgroup with a noncyclic center -- §142 Nonabelian p-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian -- §143 Alternate proof of the Reinhold Baer theorem on 2-groups with nonabelian norm -- §144 p-groups with small normal closures of all cyclic subgroups -- Appendix 27 Wreathed 2-groups -- Appendix 28 Nilpotent subgroups -- Appendix 29 Intersections of subgroups -- Appendix 30 Thompson's lemmas -- Appendix 31 Nilpotent p'-subgroups of class 2 in GL(n, p) -- Appendix 32 On abelian subgroups of given exponent and small index -- Appendix 33 On Hadamard 2-groups -- Appendix 34 Isaacs-Passman's theorem on character degrees -- Appendix 35 Groups of Frattini class 2 -- Appendix 36 Hurwitz' theorem on the composition of quadratic forms -- Appendix 37 On generalized Dedekindian groups -- Appendix 38 Some results of Blackburn and Macdonald -- Appendix 39 Some consequences of Frobenius' normal p-complement theorem -- Appendix 40 Varia -- Appendix 41 Nonabelian 2-groups all of whose minimal nonabelian subgroups have cyclic centralizers -- Appendix 42 On lattice isomorphisms of p-groups of maximal class -- Appendix 43 Alternate proofs of two classical theorems on solvable groups and some related results -- Appendix 44 Some of Freiman's results on finite subsets of groups with small doubling -- Research problems and themes III -- Author index -- Subject index
Record Nr. UNINA-9910781509103321
Berkovich I͡A. G. <1938->  
Berlin, : De Gruyter, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups of prime power order . Volume 3 [[electronic resource] /] / Yakov Berkovich, Zvonimir Janko
Groups of prime power order . Volume 3 [[electronic resource] /] / Yakov Berkovich, Zvonimir Janko
Autore Berkovich I͡A. G. <1938->
Pubbl/distr/stampa Berlin, : De Gruyter, 2011
Descrizione fisica 1 online resource (668 p.)
Disciplina 512/.23
Altri autori (Persone) JankoZvonimir <1932->
Collana De Gruyter expositions in mathematics
Groups of prime power order
Soggetto topico Finite groups
Group theory
Soggetto non controllato Group Theory
Order
Primes
ISBN 1-283-40037-5
9786613400376
3-11-025448-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Preface -- Prerequisites from Volumes 1 and 2 -- §93 Nonabelian 2-groups all of whose minimal nonabelian subgroups are metacyclic and have exponent 4 -- §94 Nonabelian 2-groups all of whose minimal nonabelian subgroups are nonmetacyclic and have exponent 4 -- §95 Nonabelian 2-groups of exponent 2e which have no minimal nonabelian subgroups of exponent 2e -- §96 Groups with at most two conjugate classes of nonnormal subgroups -- §97 p-groups in which some subgroups are generated by elements of order p -- §98 Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic to M2n+1, n 3 fixed -- §99 2-groups with sectional rank at most 4 -- §100 2-groups with exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §101 p-groups G with p > 2 and d(G) = 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §102 p-groups G with p > 2 and d(G) > 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian -- §103 Some results of Jonah and Konvisser -- §104 Degrees of irreducible characters of p-groups associated with finite algebras -- §105 On some special p-groups -- §106 On maximal subgroups of two-generator 2-groups -- §107 Ranks of maximal subgroups of nonmetacyclic two-generator 2-groups -- §108 p-groups with few conjugate classes of minimal nonabelian subgroups -- §109 On p-groups with metacyclic maximal subgroup without cyclic subgroup of index p -- §110 Equilibrated p-groups -- §111 Characterization of abelian and minimal nonabelian groups -- §112 Non-Dedekindian p-groups all of whose nonnormal subgroups have the same order -- §113 The class of 2-groups in §70 is not bounded -- §114 Further counting theorems -- §115 Finite p-groups all of whose maximal subgroups except one are extraspecial -- §116 Groups covered by few proper subgroups -- §117 2-groups all of whose nonnormal subgroups are either cyclic or of maximal class -- §118 Review of characterizations of p-groups with various minimal nonabelian subgroups -- §119 Review of characterizations of p-groups of maximal class -- §120 Nonabelian 2-groups such that any two distinct minimal nonabelian subgroups have cyclic intersection -- §121 p-groups of breadth 2 -- §122 p-groups all of whose subgroups have normalizers of index at most p -- §123 Subgroups of finite groups generated by all elements in two shortest conjugacy classes -- §124 The number of subgroups of given order in a metacyclic p-group -- §125 p-groups G containing a maximal subgroup H all of whose subgroups are G-invariant -- §126 The existence of p-groups G1 G such that Aut(G1) Aut(G) -- §127 On 2-groups containing a maximal elementary abelian subgroup of order 4 -- §128 The commutator subgroup of p-groups with the subgroup breadth 1 -- §129 On two-generator 2-groups with exactly one maximal subgroup which is not two-generator -- §130 Soft subgroups of p-groups -- §131 p-groups with a 2-uniserial subgroup of order p -- §132 On centralizers of elements in p-groups -- §133 Class and breadth of a p-group -- §134 On p-groups with maximal elementary abelian subgroup of order p2 -- §135 Finite p-groups generated by certain minimal nonabelian subgroups -- §136 p-groups in which certain proper nonabelian subgroups are two-generator -- §137 p-groups all of whose proper subgroups have its derived subgroup of order at most p -- §138 p-groups all of whose nonnormal subgroups have the smallest possible normalizer -- §139 p-groups with a noncyclic commutator group all of whose proper subgroups have a cyclic commutator group -- §140 Power automorphisms and the norm of a p-group -- §141 Nonabelian p-groups having exactly one maximal subgroup with a noncyclic center -- §142 Nonabelian p-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian -- §143 Alternate proof of the Reinhold Baer theorem on 2-groups with nonabelian norm -- §144 p-groups with small normal closures of all cyclic subgroups -- Appendix 27 Wreathed 2-groups -- Appendix 28 Nilpotent subgroups -- Appendix 29 Intersections of subgroups -- Appendix 30 Thompson's lemmas -- Appendix 31 Nilpotent p'-subgroups of class 2 in GL(n, p) -- Appendix 32 On abelian subgroups of given exponent and small index -- Appendix 33 On Hadamard 2-groups -- Appendix 34 Isaacs-Passman's theorem on character degrees -- Appendix 35 Groups of Frattini class 2 -- Appendix 36 Hurwitz' theorem on the composition of quadratic forms -- Appendix 37 On generalized Dedekindian groups -- Appendix 38 Some results of Blackburn and Macdonald -- Appendix 39 Some consequences of Frobenius' normal p-complement theorem -- Appendix 40 Varia -- Appendix 41 Nonabelian 2-groups all of whose minimal nonabelian subgroups have cyclic centralizers -- Appendix 42 On lattice isomorphisms of p-groups of maximal class -- Appendix 43 Alternate proofs of two classical theorems on solvable groups and some related results -- Appendix 44 Some of Freiman's results on finite subsets of groups with small doubling -- Research problems and themes III -- Author index -- Subject index
Record Nr. UNINA-9910828489603321
Berkovich I͡A. G. <1938->  
Berlin, : De Gruyter, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups of prime power order . Volume 2 [[electronic resource] /] / by Yakov Berkovich and Zvonimir Janko
Groups of prime power order . Volume 2 [[electronic resource] /] / by Yakov Berkovich and Zvonimir Janko
Autore Berkovich Yakov
Pubbl/distr/stampa Berlin ; ; New York, : W. de Gruyter, c2008
Descrizione fisica 1 online resource (612 p.)
Disciplina 512.23
Altri autori (Persone) JankoZvonimir
Collana De Gruyter expositions in mathematics
Soggetto topico Finite groups
Group theory
Soggetto genere / forma Electronic books.
ISBN 1-281-99348-4
9786611993481
3-11-916239-6
3-11-020823-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Preface -- §46. Degrees of irreducible characters of Suzuki p-groups -- §47. On the number of metacyclic epimorphic images of finite p-groups -- §48. On 2-groups with small centralizer of an involution, I -- §49. On 2-groups with small centralizer of an involution, II -- §50. Janko's theorem on 2-groups without normal elementary abelian subgroups of order 8 -- §51. 2-groups with self centralizing subgroup isomorphic to E8 -- §52. 2-groups with 2-subgroup of small order -- §53. 2-groups G with c2(G) = 4 -- §54. 2-groups G with cn(G) = 4, n > 2 -- §55. 2-groups G with small subgroup (x ∈ G | o(x) = 2") -- §56. Theorem of Ward on quaternion-free 2-groups -- §57. Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic and have exponent 4 -- §58. Non-Dedekindian p-groups all of whose nonnormal subgroups of the same order are conjugate -- §59. p-groups with few nonnormal subgroups -- §60. The structure of the Burnside group of order 212 -- §61. Groups of exponent 4 generated by three involutions -- §62. Groups with large normal closures of nonnormal cyclic subgroups -- §63. Groups all of whose cyclic subgroups of composite orders are normal -- §64. p-groups generated by elements of given order -- §65. A2-groups -- §66. A new proof of Blackburn's theorem on minimal nonmetacyclic 2-groups -- §67. Determination of U2-groups -- §68. Characterization of groups of prime exponent -- §69. Elementary proofs of some Blackburn's theorems -- §70. Non-2-generator p-groups all of whose maximal subgroups are 2-generator -- §71. Determination of A2-groups -- §72. An-groups, n > 2 -- §73. Classification of modular p-groups -- §74. p-groups with a cyclic subgroup of index p2 -- §75. Elements of order ≤ in p-groups -- §76. p-groups with few A1-subgroups -- §77. 2-groups with a self-centralizing abelian subgroup of type (4, 2) -- §78. Minimal nonmodular p-groups -- §79. Nonmodular quaternion-free 2-groups -- §80. Minimal non-quaternion-free 2-groups -- §81. Maximal abelian subgroups in 2-groups -- §82. A classification of 2-groups with exactly three involutions -- §83. p-groups G with Ω2(G) or Ω2*(G) extraspecial -- §84. 2-groups whose nonmetacyclic subgroups are generated by involutions -- §85. 2-groups with a nonabelian Frattini subgroup of order 16 -- §86. p-groups G with metacyclic Ω2*(G) -- §87. 2-groups with exactly one nonmetacyclic maximal subgroup -- §88. Hall chains in normal subgroups of p-groups -- §89. 2-groups with exactly six cyclic subgroups of order 4 -- §90. Nonabelian 2-groups all of whose minimal nonabelian subgroups are of order 8 -- §91. Maximal abelian subgroups of p-groups -- §92. On minimal nonabelian subgroups of p-groups -- Appendix 16. Some central products -- Appendix 17. Alternate proofs of characterization theorems of Miller and Janko on 2-groups, and some related results -- Appendix 18. Replacement theorems -- Appendix 19. New proof of Ward's theorem on quaternion-free 2-groups -- Appendix 20. Some remarks on automorphisms -- Appendix 21. Isaacs' examples -- Appendix 22. Minimal nonnilpotent groups -- Appendix 23. Groups all of whose noncentral conjugacy classes have the same size -- Appendix 24. On modular 2-groups -- Appendix 25. Schreier's inequality for p-groups -- Appendix 26. p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal class -- Research problems and themes II -- Backmatter
Record Nr. UNINA-9910454598903321
Berkovich Yakov  
Berlin ; ; New York, : W. de Gruyter, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Groups of prime power order . Volume 1 [[electronic resource] /] / by Yakov Berkovich
Groups of prime power order . Volume 1 [[electronic resource] /] / by Yakov Berkovich
Autore Berkovich Yakov
Pubbl/distr/stampa Berlin ; ; New York, : W. de Gruyter, c2008
Descrizione fisica 1 online resource (532 p.)
Disciplina 512.23
Collana De Gruyter expositions in mathematics
Soggetto topico Finite groups
Group theory
Soggetto genere / forma Electronic books.
ISBN 1-281-99347-6
9786611993474
3-11-020822-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- List of definitions and notations -- Foreword -- Preface -- Introduction -- §1. Groups with a cyclic subgroup of index p. Frattini subgroup. Varia -- §2. The class number, character degrees -- §3. Minimal classes -- §4. p-groups with cyclic Frattini subgroup -- §5. Hall's enumeration principle -- §6. q'-automorphisms of q-groups -- §7. Regular p-groups -- §8. Pyramidal p-groups -- §9. On p-groups of maximal class -- §10. On abelian subgroups of p-groups -- §11. On the power structure of a p-group -- §12. Counting theorems for p-groups of maximal class -- §13. Further counting theorems -- §14. Thompson's critical subgroup -- §15. Generators of p-groups -- §16. Classification of finite p-groups all of whose noncyclic subgroups are normal -- §17. Counting theorems for regular p-groups -- §18. Counting theorems for irregular p-groups -- §19. Some additional counting theorems -- §20. Groups with small abelian subgroups and partitions -- §21. On the Schur multiplier and the commutator subgroup -- §22. On characters of p-groups -- §23. On subgroups of given exponent -- §24. Hall's theorem on normal subgroups of given exponent -- §25. On the lattice of subgroups of a group -- §26. Powerful p-groups -- §27. p-groups with normal centralizers of all elements -- §28. p-groups with a uniqueness condition for nonnormal subgroups -- §29. On isoclinism -- §30. On p-groups with few nonabelian subgroups of order pp and exponent p -- §31. On p-groups with small p0-groups of operators -- §32. W. Gaschütz's and P. Schmid's theorems on p-automorphisms of p-groups -- §33. Groups of order pm with automorphisms of order pm-1, pm-2 or pm-3 -- §34. Nilpotent groups of automorphisms -- §35. Maximal abelian subgroups of p-groups -- §36. Short proofs of some basic characterization theorems of finite p-group theory -- §37. MacWilliams' theorem -- §38. p-groups with exactly two conjugate classes of subgroups of small orders and exponentp > 2 -- §39. Alperin's problem on abelian subgroups of small index -- §40. On breadth and class number of p-groups -- §41. Groups in which every two noncyclic subgroups of the same order have the same rank -- §42. On intersections of some subgroups -- §43. On 2-groups with few cyclic subgroups of given order -- §44. Some characterizations of metacyclic p-groups -- §45. A counting theorem for p-groups of odd order -- Appendix 1. The Hall-Petrescu formula -- Appendix 2. Mann's proof of monomiality of p-groups -- Appendix 3. Theorems of Isaacs on actions of groups -- Appendix 4. Freiman's number-theoretical theorems -- Appendix 5. Another proof of Theorem 5.4 -- Appendix 6. On the order of p-groups of given derived length -- Appendix 7. Relative indices of elements of p-groups -- Appendix 8. p-groups withabsolutely regular Frattini subgroup -- Appendix 9. On characteristic subgroups of metacyclic groups -- Appendix 10. On minimal characters of p-groups -- Appendix 11. On sums of degrees of irreducible characters -- Appendix 12. 2-groups whose maximal cyclic subgroups of order > 2 are self-centralizing -- Appendix 13. Normalizers of Sylow p-subgroups of symmetric groups -- Appendix 14. 2-groups with an involution contained in only one subgroup of order 4 -- Appendix 15. A criterion for a group to be nilpotent -- Research problems and themes I -- Backmatter
Record Nr. UNINA-9910454598003321
Berkovich Yakov  
Berlin ; ; New York, : W. de Gruyter, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui