株式会社極東書店トップ ＞ 商品一覧 ＞ Maximal $\textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type.
商品詳細
Maximal $\textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type.
・ISBN 978-1-4704-5119-6 paper US$ 85.00
￥19,915.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
| 著者・編者 | Craven, David A., |
|---|---|
| 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 | 155 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14439＞ |
解説
We study embeddings of PSL2(pa) into exceptional groups G(pb)forG = F4,E6,2E6,E7,andp aprimewitha,b positive integers. With a few possible exceptions, we prove that any almost simple group with socle PSL2(pa), that is maximal inside an almost simpleexceptional group of Lie type F4, E6, 2E6 and E7, is the fixed points under the Frobenius map of a corresponding maximal closed subgroup of type A1 inside the algebraic group. Together with a recent result of Burness and Testerman for p the Coxeter number plus one, this proves that all maximal subgroups with socle PSL2(pa) inside these finite almost simple groups are known, with three possible exceptions (pa = 7, 8,25 for E7). In the three remaining cases we provide considerable information about a potential maximal subgroup.