株式会社極東書店トップ ＞ 商品一覧 ＞ Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups.
商品詳細
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups.
・ISBN 978-1-4704-5383-1 paper US$ 85.00
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| 著者・編者 | Li, Cai-Heng / Xia, Binzhou, |
|---|---|
| シリーズ | Memoirs of the American Mathematical Society |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2022 |
| ページ数 | 99 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13001＞ |
解説
A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these non-trivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. The characterization is then applied to study s-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary that, except for cycles, a non-bipartite connected 3-arc-transitive Cayley graph of a finite solvable group is necessarily a normal cover of the Petersen graph or the Ho?man-Singleton graph.