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The maximal subgroups of positive dimension in exceptional algebraic groups / / Martin W. Liebeck, Gary M. Seitz
| The maximal subgroups of positive dimension in exceptional algebraic groups / / Martin W. Liebeck, Gary M. Seitz |
| Autore | Liebeck M. W (Martin W.) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (242 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Maximal subgroups
Linear algebraic groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0400-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480244003321 |
Liebeck M. W (Martin W.)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The maximal subgroups of positive dimension in exceptional algebraic groups / / Martin W. Liebeck, Gary M. Seitz
| The maximal subgroups of positive dimension in exceptional algebraic groups / / Martin W. Liebeck, Gary M. Seitz |
| Autore | Liebeck M. W (Martin W.) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (242 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Maximal subgroups
Linear algebraic groups |
| ISBN | 1-4704-0400-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788746503321 |
|
Liebeck M. W (Martin W.)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The maximal subgroups of positive dimension in exceptional algebraic groups / / Martin W. Liebeck, Gary M. Seitz
| The maximal subgroups of positive dimension in exceptional algebraic groups / / Martin W. Liebeck, Gary M. Seitz |
| Autore | Liebeck M. W (Martin W.) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (242 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Maximal subgroups
Linear algebraic groups |
| ISBN | 1-4704-0400-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910812751903321 |
|
Liebeck M. W (Martin W.)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The maximal subgroups of the low-dimensional finite classical groups / / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal [[electronic resource]]
| The maximal subgroups of the low-dimensional finite classical groups / / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal [[electronic resource]] |
| Autore | Bray John N (John Nicholas) |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xiv, 438 pages) : digital, PDF file(s) |
| Disciplina | 512.23 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Finite groups
Finite groups - Mathematical models Maximal subgroups Maximal subgroups - Mathematical models |
| ISBN |
1-139-89195-2
1-107-27162-2 1-107-27697-7 1-107-27371-4 1-107-27820-1 1-107-27494-X 1-139-19257-4 1-107-27214-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem
2.2 Introducing the geometric types2.3 Preliminary arguments concerning maximality; 3 Geometric maximal subgroups; 3.1 Dimension 2; 3.2 Dimension 3; 3.3 Dimension 4; 3.4 Dimension 5; 3.5 Dimension 6; 3.6 Dimension 7; 3.7 Dimension 8; 3.8 Dimension 9; 3.9 Dimension 10; 3.10 Dimension 11; 3.11 Dimension 12; 4 Groups in Class S: cross characteristic; 4.1 Preamble; 4.2 Irrationalities; 4.3 Cross characteristic candidates; 4.4 The type of the form and the stabilisers in Ω and C; 4.5 Dimension up to 6: quasisimple and conformal groups; 4.6 Determining the effects of duality and field automorphisms 5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions |
| Record Nr. | UNINA-9910464311503321 |
|
Bray John N (John Nicholas)
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The maximal subgroups of the low-dimensional finite classical groups / / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal [[electronic resource]]
| The maximal subgroups of the low-dimensional finite classical groups / / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal [[electronic resource]] |
| Autore | Bray John N (John Nicholas) |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xiv, 438 pages) : digital, PDF file(s) |
| Disciplina | 512.23 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Finite groups
Finite groups - Mathematical models Maximal subgroups Maximal subgroups - Mathematical models |
| ISBN |
1-139-89195-2
1-107-27162-2 1-107-27697-7 1-107-27371-4 1-107-27820-1 1-107-27494-X 1-139-19257-4 1-107-27214-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem
2.2 Introducing the geometric types2.3 Preliminary arguments concerning maximality; 3 Geometric maximal subgroups; 3.1 Dimension 2; 3.2 Dimension 3; 3.3 Dimension 4; 3.4 Dimension 5; 3.5 Dimension 6; 3.6 Dimension 7; 3.7 Dimension 8; 3.8 Dimension 9; 3.9 Dimension 10; 3.10 Dimension 11; 3.11 Dimension 12; 4 Groups in Class S: cross characteristic; 4.1 Preamble; 4.2 Irrationalities; 4.3 Cross characteristic candidates; 4.4 The type of the form and the stabilisers in Ω and C; 4.5 Dimension up to 6: quasisimple and conformal groups; 4.6 Determining the effects of duality and field automorphisms 5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions |
| Record Nr. | UNINA-9910788868903321 |
|
Bray John N (John Nicholas)
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The maximal subgroups of the low-dimensional finite classical groups / / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal [[electronic resource]]
| The maximal subgroups of the low-dimensional finite classical groups / / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal [[electronic resource]] |
| Autore | Bray John N (John Nicholas) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xiv, 438 pages) : digital, PDF file(s) |
| Disciplina | 512.23 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Finite groups
Finite groups - Mathematical models Maximal subgroups Maximal subgroups - Mathematical models |
| ISBN |
1-139-89195-2
1-107-27162-2 1-107-27697-7 1-107-27371-4 1-107-27820-1 1-107-27494-X 1-139-19257-4 1-107-27214-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem
2.2 Introducing the geometric types2.3 Preliminary arguments concerning maximality; 3 Geometric maximal subgroups; 3.1 Dimension 2; 3.2 Dimension 3; 3.3 Dimension 4; 3.4 Dimension 5; 3.5 Dimension 6; 3.6 Dimension 7; 3.7 Dimension 8; 3.8 Dimension 9; 3.9 Dimension 10; 3.10 Dimension 11; 3.11 Dimension 12; 4 Groups in Class S: cross characteristic; 4.1 Preamble; 4.2 Irrationalities; 4.3 Cross characteristic candidates; 4.4 The type of the form and the stabilisers in Ω and C; 4.5 Dimension up to 6: quasisimple and conformal groups; 4.6 Determining the effects of duality and field automorphisms 5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions |
| Record Nr. | UNINA-9910827649803321 |
|
Bray John N (John Nicholas)
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
