# $SE$-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 ## Abstract

Let $G$ be a finite group, $H$ a subgroup of $G$ and $H_{seG}$ 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 $HT=G$ and $H\cap T\leq H_{seG}$. 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.

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