On <i>ss</i>-quasinormal and weakly <i>s</i>-supplemented subgroups of finite groups

  • C. Li
  • Yangming Li Guangdong Univ. Education, China

Abstract

Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. $H$ is called $ss$-quasinormal in $G$ if there is a subgroup $B$ of $G$ such that $G = HB$ and $H$ permutes with every Sylow subgroup of $B$; $H$ is called weakly $s$-supplemented in G if there is a subgroup T of G such that $G = HT$ and $H \bigcap T \leq H_{sG}$, where $H_{sG}$ is the subgroup of $H$ generated by all those subgroups of $H$ which are $s$-quasinormal in $G$. In this paper we investigate the influence of $ss$-quasinormal and weakly $s$-supplemented subgroups on the structure of finite groups. Some recent results are generalized and unified.
Published
25.12.2011
How to Cite
LiC., and LiY. “On <i>ss</i>-Quasinormal and Weakly <i>s</I&gt;-Supplemented Subgroups of Finite Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 12, Dec. 2011, pp. 1623-31, http://umj.imath.kiev.ua/index.php/umj/article/view/2830.
Section
Research articles