|
|
| |
| On Nearly SS-Embedded Subgroups of Finite Groups |
| |
Citation： |
Lijun HUO,Wenbin GUO,Alexander A. MAKHNEV.On Nearly SS-Embedded Subgroups of Finite Groups[J].Chinese Annals of Mathematics B,2014,35(6):885~894 |
| Page view： 1272
Net amount： 1211 |
Authors： |
Lijun HUO; Wenbin GUO; Alexander A. MAKHNEV; |
Foundation： |
the National Natural Science Foundation of China (No. 11371335), the
international joint research fund between NSFC and RFBR (No. 11211120148) and the Research Fund
for the Doctoral Program of Higher Education of China (No. 20113402110036). |
|
|
| Abstract： |
Let $H$ be a subgroup of a finite group $G$. $H$ is nearly
$SS$-embedded in $G$ if there exists an $S$-quasinormal subgroup $K$
of $G$, such that $HK$ is $S$-quasinormal in $G$ and $H\cap K\leq
H_{{\rm se}G}$, where $H_{{\rm se}G}$ is the subgroup of $H$,
generated by all those subgroups of $H$ which are $S$-quasinormally
embedded in $G$. In this paper, the authors investigate the
influence of nearly $SS$-embedded subgroups on the structure of
finite groups. |
Keywords： |
S-quasinormal subgroup, Nearly SS-embedded subgroup, Sylow subgroup,
p-nilpotent group, Supersolvable group |
Classification： |
20D10, 20D20 |
|
|
Download PDF Full-Text
|
|
|
|
