Finite groups with some $SS$-embedded subgroups
doi
10.22108/ijgt.2013.2543چکیده
We call $H$ an $SS$-embedded subgroup of $G$ if there exists a normal subgroup $T$ of $G$ such that $HT$ is subnormal in $G$ and $H\cap T\leq H_{sG}$, where $H_{sG}$ is the maximal $s$-permutable subgroup of $G$ contained in $H$. In this paper, we investigate the influence of some $SS$-embedded subgroups on the structure of a finite group $G$. Some new results were obtained.