The maximal subgroups of the low-dimensional finite classical groups
This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used through...
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Cambridge University Press
2013
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| Schriftenreihe: | London Mathematical Society lecture note series
407 |
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| 100 | 1 | |a Bray, John N. | |
| 245 | 1 | 4 | |a The maximal subgroups of the low-dimensional finite classical groups |c John N. Bray, Derek F. Holt, Colva M. Roney-Dougal |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2013 | |
| 300 | |a 1 Online-Ressource (xiv, 438 Seiten) | ||
| 336 | |b txt | ||
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| 490 | 1 | |a London Mathematical Society lecture note series |v 407 | |
| 520 | |a This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory. | ||
| 700 | 1 | |a Holt, Derek F. | |
| 700 | 1 | |a Roney-Dougal, Colva Mary | |
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| spelling | Bray, John N. The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal Cambridge Cambridge University Press 2013 1 Online-Ressource (xiv, 438 Seiten) txt c cr London Mathematical Society lecture note series 407 This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory. Holt, Derek F. Roney-Dougal, Colva Mary Erscheint auch als Druck-Ausgabe 9780521138604 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9781139192576 Volltext |
| spellingShingle | Bray, John N. The maximal subgroups of the low-dimensional finite classical groups |
| title | The maximal subgroups of the low-dimensional finite classical groups |
| title_auth | The maximal subgroups of the low-dimensional finite classical groups |
| title_exact_search | The maximal subgroups of the low-dimensional finite classical groups |
| title_full | The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal |
| title_fullStr | The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal |
| title_full_unstemmed | The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal |
| title_short | The maximal subgroups of the low-dimensional finite classical groups |
| title_sort | maximal subgroups of the low dimensional finite classical groups |
| url | https://doi.org/10.1017/CBO9781139192576 |
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