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Automorphism Orbits and Element Orders in Finite Groups
| Automorphism Orbits and Element Orders in Finite Groups |
| Autore | Bors Alexander |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2023 |
| Descrizione fisica | 1 online resource (108 pages) |
| Disciplina |
512/.23
512.23 |
| Altri autori (Persone) |
GiudiciMichael
PraegerCheryl E |
| Collana | Memoirs of the American Mathematical Society Series |
| Soggetto topico |
Finite groups
Automorphisms Group theory and generalizations -- Abstract finite groups -- Arithmetic and combinatorial problems Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification Group theory and generalizations -- Abstract finite groups -- Automorphisms |
| ISBN | 1-4704-7543-X |
| Classificazione | 20D6020D0520D45 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Statement of our main results -- 1.2. Overview of the proofs of Theorems 1.1.2 and 1.1.3 -- 1.3. Some related open questions -- Chapter 2. Notation -- Chapter 3. Proof of Theorem 1.1.3 -- 3.1. Sporadic groups -- 3.2. Alternating groups -- 3.3. Groups of Lie type -- Chapter 4. Proof of Theorem 1.1.2(1) -- Chapter 5. Proof of Theorem 1.1.2(2) -- 5.1. Reduction to semisimple groups -- 5.2. Two lemmas for working with partitions -- 5.3. Some auxiliary results on finite simple groups -- 5.4. Gaining some control over socle cosets in finite semisimple groups -- 5.5. Another equivalent reformulation of Theorem 1.1.2(2) -- 5.6. A bit of elementary number theory -- 5.7. Some results concerning the classes \Hcal_{ ̂, ̂, ̂} -- 5.8. More restrictions on finite semisimple groups with bounded \q-value -- 5.9. Completing the proof of Theorem 1.1.2(2) -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910915794303321 |
Bors Alexander
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| Providence : , : American Mathematical Society, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Complementation of normal subgroups : in finite groups
| Complementation of normal subgroups : in finite groups |
| Autore | Kirtland Joseph (Mathematics professor) |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Munich, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (144 pages) : illustrations, tables |
| Disciplina | 512/.23 |
| Soggetto topico |
Finite groups
Sylow subgroups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-047892-7
3-11-048021-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index |
| Record Nr. | UNINA-9910467839803321 |
|
Kirtland Joseph (Mathematics professor)
|
||
| Berlin, [Germany] ; ; Munich, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complementation of normal subgroups : in finite groups
| Complementation of normal subgroups : in finite groups |
| Autore | Kirtland Joseph (Mathematics professor) |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Munich, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (144 pages) : illustrations, tables |
| Disciplina | 512/.23 |
| Soggetto topico |
Finite groups
Sylow subgroups |
| ISBN |
3-11-047892-7
3-11-048021-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index |
| Record Nr. | UNINA-9910795044403321 |
|
Kirtland Joseph (Mathematics professor)
|
||
| Berlin, [Germany] ; ; Munich, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complementation of normal subgroups : in finite groups
| Complementation of normal subgroups : in finite groups |
| Autore | Kirtland Joseph (Mathematics professor) |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Munich, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (144 pages) : illustrations, tables |
| Disciplina | 512/.23 |
| Soggetto topico |
Finite groups
Sylow subgroups |
| ISBN |
3-11-047892-7
3-11-048021-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index |
| Record Nr. | UNINA-9910824317603321 |
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Kirtland Joseph (Mathematics professor)
|
||
| Berlin, [Germany] ; ; Munich, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The conjugacy problem and Higman embeddings / / A. Yu. Ol'shanskii, M. V. Sapir
| The conjugacy problem and Higman embeddings / / A. Yu. Ol'shanskii, M. V. Sapir |
| Autore | Ol'shanskii A. Yu |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 512/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Frattini subgroups
Conjugacy classes Embeddings (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0405-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""References""""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910480098703321 |
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Ol'shanskii A. Yu
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||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The conjugacy problem and Higman embeddings / / A. Yu. Ol'shanskii, M. V. Sapir
| The conjugacy problem and Higman embeddings / / A. Yu. Ol'shanskii, M. V. Sapir |
| Autore | Ol'shanskii A. Yu |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 512/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Frattini subgroups
Conjugacy classes Embeddings (Mathematics) |
| ISBN | 1-4704-0405-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""References""""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910788747103321 |
|
Ol'shanskii A. Yu
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The conjugacy problem and Higman embeddings / / A. Yu. Ol'shanskii, M. V. Sapir
| The conjugacy problem and Higman embeddings / / A. Yu. Ol'shanskii, M. V. Sapir |
| Autore | Ol'shanskii A. Yu |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 512/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Frattini subgroups
Conjugacy classes Embeddings (Mathematics) |
| ISBN | 1-4704-0405-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""References""""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910818972403321 |
|
Ol'shanskii A. Yu
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||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
| Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups |
| Autore | Li Cai-Heng |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (112 pages) |
| Disciplina |
512/.23
512.23 |
| Altri autori (Persone) | XiaBinzhou |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Finite groups
Group theory Group theory and generalizations -- Abstract finite groups -- Products of subgroups Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type Group theory and generalizations -- Abstract finite groups -- Simple groups: sporadic groups Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures |
| ISBN |
9781470472290
1470472295 |
| Classificazione | 20D4020D0620D0805E18 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Factorizations of almost simple groups -- 1.2. -Arc-transitive Cayley graphs -- 1.3. Discussions and some open problems -- Chapter 2. Preliminaries -- 2.1. Notation -- 2.2. Results on finite simple groups -- 2.3. Elementary facts concerning factorizations -- 2.4. Maximal factorizations of almost simple groups -- Chapter 3. The factorizations of linear and unitary groups of prime dimension -- 3.1. Singer cycles -- 3.2. Linear groups of prime dimension -- 3.3. Unitary groups of prime dimension -- Chapter 4. Non-classical groups -- 4.1. The case that both factors are solvable -- 4.2. Exceptional groups of Lie type -- 4.3. Alternating group socles -- 4.4. Sporadic group socles -- Chapter 5. Examples in classical groups -- 5.1. Examples in unitary groups -- 5.2. Examples in symplectic groups -- 5.3. Examples in orthogonal groups of odd dimension -- 5.4. Examples in orthogonal groups of plus type -- Chapter 6. Reduction for classical groups -- 6.1. Inductive hypothesis -- 6.2. The case that has at least two non-solvable composition factors -- Chapter 7. Proof of Theorem 1.1 -- 7.1. Linear groups -- 7.2. Symplectic Groups -- 7.3. Unitary Groups -- 7.4. Orthogonal groups of odd dimension -- 7.5. Orthogonal groups of even dimension -- 7.6. Completion of the proof -- Chapter 8. -Arc-transitive Cayley graphs of solvable groups -- 8.1. Preliminaries -- 8.2. A property of finite simple groups -- 8.3. Reduction to affine and almost simple groups -- 8.4. Proof of Theorem 1.3 and Corollary 1.5 -- Appendix A. Tables for nontrivial maximal factorizations of almost simple classical groups -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910970915503321 |
|
Li Cai-Heng
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite Groups 2003 [[electronic resource] ] : proceedings of the Gainesville conference on finite groups, March 6-12, 2003 / / editors, C.Y. Ho ... [et al.]
| Finite Groups 2003 [[electronic resource] ] : proceedings of the Gainesville conference on finite groups, March 6-12, 2003 / / editors, C.Y. Ho ... [et al.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2004 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 512/.23 |
| Altri autori (Persone) | HoChat-Yin <1946-> |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico | Finite groups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-19437-2
9786612194375 3-11-019812-6 |
| Classificazione | SD 2003 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Table of contents -- On a question of Farjoun -- Extensions for finite groups of Lie type: twisted groups -- On the classifying space and cohomology of Thompson's sporadic simple group -- New versions of Schur-Weyl duality -- Just infinite periodic Lie algebras -- On the Schur indices of cuspidal unipotent characters -- An extension of Thompson's Replacement Theorem by algebraic group methods -- Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields -- Classification of 2F-modules, II -- On the real Schur indices associated with infinite Coxeter groups -- Some observations on products of characters of finite classical groups -- The number of finite p-groups with bounded number of generators -- Enumerating highly non-soluble groups -- 3-Signalizers in almost simple groups -- Classifying character degree graphs with 5 vertices -- Heights of characters and defect groups -- Problems on characters and Sylow subgroups -- Ovals in finite projective planes via the representation theory of the symmetric group -- Rank invariance and automorphisms of generalized Kac-Moody superalgebras -- Bounding numbers and heights of characters in p-constrained groups -- Classification of buildings -- Characters of algebra groups and unitriangular groups -- The signalizer method -- Classical groups in dimension 5 which are Hurwitz -- A classification of Weyl groups as finite {3, 4}-transposition groups -- Powerful subgroups of 2-groups -- Regular orbits of induced modules of finite groups -- Radical subgroups and p-local ranks -- Backmatter |
| Record Nr. | UNINA-9910451224903321 |
| Berlin ; ; New York, : Walter de Gruyter, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite Groups 2003 [[electronic resource] ] : proceedings of the Gainesville conference on finite groups, March 6-12, 2003 / / editors, C.Y. Ho ... [et al.]
| Finite Groups 2003 [[electronic resource] ] : proceedings of the Gainesville conference on finite groups, March 6-12, 2003 / / editors, C.Y. Ho ... [et al.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2004 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 512/.23 |
| Altri autori (Persone) | HoChat-Yin <1946-> |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico | Finite groups |
| ISBN |
1-282-19437-2
9786612194375 3-11-019812-6 |
| Classificazione | SD 2003 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Table of contents -- On a question of Farjoun -- Extensions for finite groups of Lie type: twisted groups -- On the classifying space and cohomology of Thompson's sporadic simple group -- New versions of Schur-Weyl duality -- Just infinite periodic Lie algebras -- On the Schur indices of cuspidal unipotent characters -- An extension of Thompson's Replacement Theorem by algebraic group methods -- Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields -- Classification of 2F-modules, II -- On the real Schur indices associated with infinite Coxeter groups -- Some observations on products of characters of finite classical groups -- The number of finite p-groups with bounded number of generators -- Enumerating highly non-soluble groups -- 3-Signalizers in almost simple groups -- Classifying character degree graphs with 5 vertices -- Heights of characters and defect groups -- Problems on characters and Sylow subgroups -- Ovals in finite projective planes via the representation theory of the symmetric group -- Rank invariance and automorphisms of generalized Kac-Moody superalgebras -- Bounding numbers and heights of characters in p-constrained groups -- Classification of buildings -- Characters of algebra groups and unitriangular groups -- The signalizer method -- Classical groups in dimension 5 which are Hurwitz -- A classification of Weyl groups as finite {3, 4}-transposition groups -- Powerful subgroups of 2-groups -- Regular orbits of induced modules of finite groups -- Radical subgroups and p-local ranks -- Backmatter |
| Record Nr. | UNINA-9910784288703321 |
| Berlin ; ; New York, : Walter de Gruyter, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
