- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:48
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)
126
2011
0
Finite Groups with Weakly $s$-Semipermutable Subgroups
Changwen
Li
Xuzhou Normal University, XUZHOU, CHINA
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 is a subgroup $T$ of $G$ such that $G=HT$ and $H\cap T$ is $s$-semipermutable in $G$. We investigate the influence of weakly $s$-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.
General
73
88
10.4171/RSMUP/126-5
http://www.ems-ph.org/doi/10.4171/RSMUP/126-5