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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 | ||
| ||
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 | ||
| ||
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 | ||
| ||