Automorphisms of fusion systems of finite simple groups of lie type Automorphisms of fusion systems of sporadic simple groups
著者
書誌事項
Automorphisms of fusion systems of finite simple groups of lie type . Automorphisms of fusion systems of sporadic simple groups
（Memoirs of the American Mathematical Society, no. 1267）
American Mathematical Society, c2019
大学図書館所蔵 件 / 全8件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"November 2019, volume 262, number 1267 (fourth of 7 numbers)"
Includes bibliographical reference (p. 115-117, 161-163)
内容説明・目次
内容説明
For a finite group $G$ of Lie type and a prime $p$, the authors compare the automorphism groups of the fusion and linking systems of $G$ at $p$ with the automorphism group of $G$ itself. When $p$ is the defining characteristic of $G$, they are all isomorphic, with a very short list of exceptions. When $p$ is different from the defining characteristic, the situation is much more complex but can always be reduced to a case where the natural map from $\mathrm{Out}(G)$ to outer automorphisms of the fusion or linking system is split surjective. This work is motivated in part by questions involving extending the local structure of a group by a group of automorphisms, and in part by wanting to describe self homotopy equivalences of $BG^\wedge _p$ in terms of $\mathrm{Out}(G)$.
目次
Introduction
Tame and reduced fusion systems
Background on finite groups of Lie type
Automorphisms of groups of Lie type
The equicharacteristic case
The cross characteristic case: I
The cross characteristic case: II
Appendix A. Injectivity of $\mu _G$ by Bob Oliver
Bibliography.
「Nielsen BookData」 より
