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The Local Structure for Finite Groups With a Large $p$-Subgroup (Memoirs of the American Mathematical Society)

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Let $p$ be a prime, $G$ a finite $\mathcal{K}_p$-group $S$ a Sylow $p$-subgroup of $G$ and $Q$ a large subgroup of $G$ in $S$ (i.e., $C_G(Q) \leq Q$ and $N_G(U) \leq N_G(Q)$ for $1 e U \leq C_G(Q)$). Let $L$ be any subgroup of $G$ with $S\leq L$, $O_p(L) eq 1$ and $Q trianglelefteq L$. In this paper the authors determine the action of $L$ on the largest elementary abelian normal $p$-reduced $p$-subgroup $Y_L$ of $L$.

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Format
paperback
Domain
Amazon UK
Release Date
30 June 2016
Listed Since
06 May 2016

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