The following result is received: Let $H$ be a non-normal maximal subgroup ofa 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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机译:收到以下结果:设$ H $为有限可解组$ G $的非正规最大子组,令$ q \ in \ pi(F(H / \ mathrm {Core} _GH))$,则$ G $具有Sylow $ q $子组$ Q $,因此$ N_ {G}(Q)\ subseteq H $。
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