On weakly S-embedded subgroups and weakly $\tau$-embedded subgroups

Xiaoyu Chen, Wenbin Guo

Let $G$ be a finite group. A subgroup $H$ of $G$ is said to be weakly S-embedded in $G$ if there exists $K⊴G$ such that $HK$ is S-quasinormal in $G$ and $H\cap K\le H_{seG}$…