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On S-semiembedded subgroups of finite groups
Abid Mahboob,Yuemei Mao,Wenbin Guo *
School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China
*Correspondence author
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Funding: NNSF grant of China （No.11371335）, Research Fund for the Doctoral Program of Higher Education of China （No.20113402110036）
Opened online:10 March 2014
Accepted by: none
Citation: Abid Mahboob,Yuemei Mao,Wenbin Guo.On S-semiembedded subgroups of finite groups[OL]. [10 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4588420
 
 
A subgroup $H$ of a finite group $G$ is said to be $s$-semipermutable in $G$ if it is permutable with every Sylow $p$-subgroup of $G$ with $(p, |H|)=1$. We say that a subgroup $H$ of a finite group $G$ is $S$-semiembedded in $G$ if there exists an $s$-permutable subgroup $T$ of $G$ such that $TH$ is $s$-permutable in $G$ and $Tcap Hleq H_{ar{s}G}$, where $H_{ar{s}G}$ is an $s$-semipermutable subgroup of $G$ contained in $H$. In this paper, we investigate the influence of $S$-semiembedded subgroups on the structure of finite groups.
Keywords:$s$-permutable subgroup; $s$-semipermutable subgroup; $S$-semiembedded subgroup; soluble group; $p$-nilpotent group
 
 
 

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