论文标题

组的特征$ psl_n(q)$和$ psu_n(q)$由他们的$ 2 $ -Fusion Systems,$ Q $奇数

A characterization of the groups $PSL_n(q)$ and $PSU_n(q)$ by their $2$-fusion systems, $q$ odd

论文作者

Kaspczyk, Julian

论文摘要

令$ q $是一种非平凡的元素力量,让$ n \ ge 2 $为$(n,q)\ ne(2,3)$的自然数字。我们通过其$ 2 $ - 信息系统来表征$ psl_n(q)$和$ psu_n(q)$的组。这有助于Aschbacher计划,以简化有限简单组的分类证明。

Let $q$ be a nontrivial odd prime power, and let $n \ge 2$ be a natural number with $(n,q) \ne (2,3)$. We characterize the groups $PSL_n(q)$ and $PSU_n(q)$ by their $2$-fusion systems. This contributes to a programme of Aschbacher aiming at a simplified proof of the classification of finite simple groups.

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