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

Algebra

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About the Author U. Meierfrankenfeld, Michigan State University, East Lansing, MI, USA.B. Stellmacher, Christian-Albrechts-University of Kiel, Germany.G. Stroth, Martin-Luther-Unversitat Halle-Wittenberg, Germany. Product Description 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 $1 \ne U \leq C_G(Q)$). Let $L$ be any subgroup of $G$ with $S\leq L$, $O_p(L)\neq 1$ and $Q\ntrianglelefteq L$. 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
ASIN: 1470418770
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 June 2016
Listed Since: 06 May 2016

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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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