$SE$-Supplemented Subgroups of Finite Groups

Wenbin Guo; Alexander N. Skiba; Nanying Yang

doi:10.4171/rsmup/129-14

JournalsrsmupVol. 129pp. 245–263

$SE$ -Supplemented Subgroups of Finite Groups

Wenbin Guo
University of Scinece and Technology of China, Hefei, China
Alexander N. Skiba
Gomel Francisk Skorina State University, Belarus
Nanying Yang
University of Science and Technology of China, Hefei, China

Download PDF

Abstract

Let $G$ be a finite group, $H$ a subgroup of $G$ and $H_{se G}$ be the subgroup generated by all subgroups of $H$ which are $S$ -quasinormally embedded in $G$ . Then we say that $H$ is $SE$ -supplemented in $G$ if $G$ has a subgroup $T$ such that $H T = G$ and $H \cap T \leq H_{se G}$ . We investigate the influence of $SE$ -quasinormally embedded of some subgroups on the structure of finite groups. Our results improve and extend a series of recent results.

Cite this article

Wenbin Guo, Alexander N. Skiba, Nanying Yang, $SE$ -Supplemented Subgroups of Finite Groups. Rend. Sem. Mat. Univ. Padova 129 (2013), pp. 245–263

DOI 10.4171/RSMUP/129-14