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- W1644110997 abstract "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 $1 neq U le Z(Q)$, $N_G(U) le N_G(Q)$. 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." @default.
- W1644110997 created "2016-06-24" @default.
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- W1644110997 date "2011-10-06" @default.
- W1644110997 modified "2023-09-27" @default.
- W1644110997 title "Groups which are almost groups of Lie type in characteristic p" @default.
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