### Changwen Li

Xuzhou Normal University, China

## Abstract

Suppose $G$ is a finite group and $H$is a subgroup of $G$. $H$ is said to be $s$-semipermutable in $G$ if$HG_{p} = G_{p}H$ for any Sylow $p$-subgroup $G_{p}$ of $G$ with$(p, |H|)=1$; $H$ is called weakly $s$-semipermutable in $G$ if there isa subgroup $T$ of $G$ such that $G=HT$ and $H\cap T$ is $s$-semipermutable in $G$. We investigate the influence of weakly $s$-semipermutablesubgroups on the structure of finite groups. Some recentresults are generalized and unified.

## Cite this article

Changwen Li, Finite Groups with Weakly $s$-Semipermutable Subgroups. Rend. Sem. Mat. Univ. Padova 126 (2011), pp. 73–88

DOI 10.4171/RSMUP/126-5