Groups which are almost groups of Lie type in characteristic p
Groups which are almost groups of Lie type in characteristic p
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特征 p 中几乎是 Lie 型群的群
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
G. Stroth
中科院分区：
文献类型：
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作者：
C. Parker;G. Stroth
对于素数$p$，有限群$G$的$p$-子群当且仅当$Q= F^*(N_G(Q))$和，对于所有$1，我们说$p$-子群是大的
For a prime $p$, a $p$-subgroup of a finite group $G$ is said to be large if and only if $Q= F^*(N_G(Q))$ and, for all $1
eq U le Z(Q)$, $N_G(U) le N_G(Q)$. In this article we determine those groups $G$ which have a large subgroup and which in addition have a proper subgroup $H$ containing a Sylow $p$-subgroup of $G$ with $F^*(H)$ a group of Lie type in characteristic $p$ and rank at least 2 (excluding $PSL_3(p^a)$) and $C_H(z)$ soluble for some $z in Z(S)$. This work is part of a project to determine the groups $G$ which contain a large $p$-subgroup.