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The Maximal Subgroups of the Low-Dimensional Finite Classical Groups.
・ISBN 978-0-521-13860-4 paper GB£ 69.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-139-19257-6
| 著者・編者 | Bray, John N. / Holt, Derek F. / Roney-Dougal, Colva M., |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2013 |
| ページ数 | 452 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2218＞ |
解説
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.