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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| Main Author: | |
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2013
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| Series: | London Mathematical Society lecture note series
407 |
| Links: | https://doi.org/10.1017/CBO9781139192576 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xiv, 438 Seiten) |
| ISBN: | 9781139192576 |
Staff View
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| 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. | ||
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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 |
| 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 |
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