2 problems

Let $G$ be a finite group, let $A\trianglelefteq G$, and let $H$ be an $d52f$-submaximal subgroup of $G$. The normalizer conjecture. Then $H$ is $d52f$-submaximal in the normalizer…

Let $d52f$ be a class of finite groups, let $A$ be an $d52f$-separable normal subgroup of a finite group $G$, and let $G\rightarrow G/A$ be the canonical epimorphism. The homomorph…