On Maximal Subgroups of a Finite Solvable Group

D. V. Gritsuk, V. S. Monakhov

The following result is received: Let $H$ be a non-normal maximal subgroup of a finite solvable group $G$ and let $q\in \pi (F(H/{\mathrm{Core}}_{G}H))$, then $G$ has a Sylow $q$-subgrou…