The subgroup structure of the finite classical groups:
With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new...
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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
1990
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Schriftenreihe: | London Mathematical Society lecture note series
129 |
Links: | https://doi.org/10.1017/CBO9780511629235 |
Zusammenfassung: | With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory. |
Umfang: | 1 Online-Ressource (vii, 303 Seiten) |
ISBN: | 9780511629235 |
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100 | 1 | |a Kleidman, Peter | |
245 | 1 | 4 | |a The subgroup structure of the finite classical groups |c Peter Kleidman, Martin Liebeck |
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490 | 1 | |a London Mathematical Society lecture note series |v 129 | |
520 | |a With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory. | ||
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spelling | Kleidman, Peter The subgroup structure of the finite classical groups Peter Kleidman, Martin Liebeck Cambridge Cambridge University Press 1990 1 Online-Ressource (vii, 303 Seiten) txt c cr London Mathematical Society lecture note series 129 With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory. Liebeck, M. W. 1954- Erscheint auch als Druck-Ausgabe 9780521359498 |
spellingShingle | Kleidman, Peter The subgroup structure of the finite classical groups |
title | The subgroup structure of the finite classical groups |
title_auth | The subgroup structure of the finite classical groups |
title_exact_search | The subgroup structure of the finite classical groups |
title_full | The subgroup structure of the finite classical groups Peter Kleidman, Martin Liebeck |
title_fullStr | The subgroup structure of the finite classical groups Peter Kleidman, Martin Liebeck |
title_full_unstemmed | The subgroup structure of the finite classical groups Peter Kleidman, Martin Liebeck |
title_short | The subgroup structure of the finite classical groups |
title_sort | subgroup structure of the finite classical groups |
work_keys_str_mv | AT kleidmanpeter thesubgroupstructureofthefiniteclassicalgroups AT liebeckmw thesubgroupstructureofthefiniteclassicalgroups AT kleidmanpeter subgroupstructureofthefiniteclassicalgroups AT liebeckmw subgroupstructureofthefiniteclassicalgroups |