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Maximal Textrm {PSL}_2 Subgroups of Exceptional Groups of Lie Type
| Maximal Textrm {PSL}_2 Subgroups of Exceptional Groups of Lie Type |
| Autore | Craven David A |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (168 pages) |
| Disciplina |
512/.482
512.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie groups
Maximal subgroups Exceptional Lie algebras Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type Group theory and generalizations -- Linear algebraic groups and related topics -- Exceptional groups |
| ISBN |
9781470470210
9781470451196 |
| Classificazione | 20D0620G41 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Notation and Preliminaries -- Chapter 3. Maximal Subgroups -- Chapter 4. Maximal Subgroups and Subspace Stabilizers -- Chapter 5. Blueprint Theorems for Semisimple Elements -- 5.1. Preliminary Results -- 5.2. Determination of the Bounds for the Minimal Module -- 5.3. Consequences for Maximal Subgroups -- Chapter 6. Unipotent and Semisimple Elements -- 6.1. Actions of Unipotent Elements -- 6.2. Blueprints and Element Orders -- 6.3. Blueprints inside Subgroups of Type ₁ -- 6.4. Traces of Modules for \PGL₂ -- 6.5. The Graph Automorphism of ₄ -- 6.6. Rank-1 Subalgebras of the Lie Algebra -- Chapter 7. Modules for \SL₂ -- 7.1. Modules for \SL₂(2^{ }) -- 7.2. Modules for \SL₂(3^{ }) -- 7.3. Modules for \SL₂( ) -- 7.4. Modules for \SL₂( ^{ }) for ≥5 and > -- 1 -- Chapter 8. Some \PSL₂s inside ₆ in Characteristic 3 -- Chapter 9. Proof of the Theorems: Strategy -- Chapter 10. The Proof for ₄ -- 10.1. Characteristic 2 -- 10.2. Characteristic 3 -- 10.3. Characteristic At Least 5 -- Chapter 11. The Proof for ₆ -- 11.1. Characteristic 2 -- 11.2. Characteristic 3 -- 11.3. Characteristic At Least 5 -- Chapter 12. The Proof for ₇ in Characteristic 2 -- Chapter 13. The Proof for ₇ in Odd Characteristic: \PSL₂ Embedding -- 13.1. Characteristic 3 -- 13.2. Characteristic At Least 5 -- Chapter 14. The Proof for ₇ in Odd Characteristic: \SL₂ Embedding -- 14.1. Characteristic 3 -- 14.2. Characteristic At Least 5 -- Appendix A. Actions of Maximal Positive-Dimensional Subgroups on Minimal and Adjoint Modules -- Appendix B. Traces of Small-Order Semisimple Elements -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910957558303321 |
Craven David A
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Representation Theory of Finite Groups: a Guidebook / / by David A. Craven
| Representation Theory of Finite Groups: a Guidebook / / by David A. Craven |
| Autore | Craven David A |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (VIII, 294 p. 49 illus.) |
| Disciplina | 512.2 |
| Collana | Universitext |
| Soggetto topico |
Group theory
Associative rings Rings (Algebra) Categories (Mathematics) Algebra, Homological Group Theory and Generalizations Associative Rings and Algebras Category Theory, Homological Algebra |
| ISBN |
9783030217921
3030217922 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 The Basics -- 2 Blocks and Their Characters -- 3 Modules -- 4 The Local-Global Principle -- 5 Blocks with Cyclic Defect Groups -- 6 Blocks with Non-Cyclic Defect Groups -- 7 Clifford Theory -- 8 Representation of Symmetric Groups -- 9 Representations of Groups of Lie Type -- References -- Index. |
| Record Nr. | UNINA-9910349339003321 |
|
Craven David A
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||