Zhao, T. (2013). Finite groups with some $SS$-embedded subgroups. International Journal of Group Theory, 2(3), 63-70. doi: 10.22108/ijgt.2013.2543

Tao Zhao. "Finite groups with some $SS$-embedded subgroups". International Journal of Group Theory, 2, 3, 2013, 63-70. doi: 10.22108/ijgt.2013.2543

Zhao, T. (2013). 'Finite groups with some $SS$-embedded subgroups', International Journal of Group Theory, 2(3), pp. 63-70. doi: 10.22108/ijgt.2013.2543

Zhao, T. Finite groups with some $SS$-embedded subgroups. International Journal of Group Theory, 2013; 2(3): 63-70. doi: 10.22108/ijgt.2013.2543

^{}School of Science, Shandong University of Technology

Abstract

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.