- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:49
Rendiconti del Seminario Matematico della Università di Padova
Rend. Sem. Mat. Univ. Padova
RSMUP
0041-8994
2240-2926
General
10.4171/RSMUP
http://www.ems-ph.org/doi/10.4171/RSMUP
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2013)
129
2013
0
$SE$-Supplemented Subgroups of Finite Groups
Wenbin
Guo
University of Scinece and Technology of China, HEFEI, CHINA
Alexander
Skiba
Gomel Francisk Skorina State University, GOMEL, BELARUS
Nanying
Yang
University of Science and Technology of China, HEFEI, CHINA
$S$-quasinormal subgroup, $S$-quasinormally embedded subgroup, $FE$-supplemented subgroup, formation
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.
Group theory and generalizations
General
245
263
10.4171/RSMUP/129-14
http://www.ems-ph.org/doi/10.4171/RSMUP/129-14