Finite groups with $\mathbb{P}$-subnormal and strongly permutable subgroups

V. S. Monakhov, I. L. Sokhor

Let $H$ be a subgroup of a group $G$. The permutizer $P_G(H)$ is the subgroup generated by all cyclic subgroups of $G$ which permute with $H$. A subgroup $H$ of a group $G$ is stro…