On Maximal Subgroups of a Finite Solvable Group

Details On Maximal Subgroups of a Finite Solvable Group On Maximal Subgroups of a Finite Solvable Group

2011-05-05

arxiv.org/abs/1105.1054v1

Mathematics

Group Theory

Scientific paper

The following result is received: Let $H$ be a non-normal maximal subgroup of
a finite solvable group $G$ and let $q \in \pi(F(H/\mathrm{Core}_GH))$, then
$G$ has a Sylow $q$-subgroup $Q$ such that $N_{G}(Q) \subseteq H$.

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