Linear algebraic groups and finite groups of lie type:
Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces mo...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
133 |
| Links: | https://doi.org/10.1017/CBO9780511994777 |
| Zusammenfassung: | Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas. |
| Umfang: | 1 Online-Ressource (xii, 309 Seiten) |
| ISBN: | 9780511994777 |
Internformat
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| spelling | Malle, Gunter Linear algebraic groups and finite groups of lie type Gunter Malle, Donna Testerman Linear Algebraic Groups & Finite Groups of Lie Type Cambridge Cambridge University Press 2011 1 Online-Ressource (xii, 309 Seiten) txt c cr Cambridge studies in advanced mathematics 133 Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas. Testerman, Donna M. 1960- Erscheint auch als Druck-Ausgabe 9781107008540 Erscheint auch als Druck-Ausgabe 9781107471443 |
| spellingShingle | Malle, Gunter Linear algebraic groups and finite groups of lie type |
| title | Linear algebraic groups and finite groups of lie type |
| title_alt | Linear Algebraic Groups & Finite Groups of Lie Type |
| title_auth | Linear algebraic groups and finite groups of lie type |
| title_exact_search | Linear algebraic groups and finite groups of lie type |
| title_full | Linear algebraic groups and finite groups of lie type Gunter Malle, Donna Testerman |
| title_fullStr | Linear algebraic groups and finite groups of lie type Gunter Malle, Donna Testerman |
| title_full_unstemmed | Linear algebraic groups and finite groups of lie type Gunter Malle, Donna Testerman |
| title_short | Linear algebraic groups and finite groups of lie type |
| title_sort | linear algebraic groups and finite groups of lie type |
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