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Geometry of Sporadic Groups : Volume 2, Representations and Amalgams.
・ISBN 978-0-521-62349-0 hard GB£ 144.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-55024-9
| 著者・編者 | Ivanov, A. A. / Shpectorov, S. V., |
|---|---|
| シリーズ | Encyclopedia of Mathematics and its Applications |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2002 |
| ページ数 | 304 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10737＞ |
解説
This is the second volume in a two-volume set, which provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. The classification is based on the method of group amalgam, the most promising tool in modern finite group theory. Via their systematic treatment of group amalgams, the authors establish a deep and important mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.