The influence of ${\mathfrak{F}}_{\mathrm{s}}$-quasinormality of subgroups on the structure of finite groups

Xiaolong Yu, Xiaoyu Chen, Wenbin Guo

Let $\mathfrak{F}$ be a class of finite groups. A subgroup $H$ of a finite group $G$ is said to be ${\mathfrak{F}}_{\mathrm{s}}$-quasinormal in $G$ if there exists a normal subgroup $T$ o…