On partially conjugate-permutable subgroups of finite groups

V. I. Murashka, A. F. Vasil'ev

Let $R$ be a subset of a group $G$. We call a subgroup $H$ of $G$ the $R$-conjugate-permutable subgroup of $G$, if $H{H}^x=H^{x}H$ for all $x\in R$. This concept is a generalizatio…