@article {
author = {Zhao, Tao},
title = {On weakly $SS$-quasinormal and hypercyclically embedded properties of finite groups},
journal = {International Journal of Group Theory},
volume = {3},
number = {4},
pages = {17-25},
year = {2014},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2014.4950},
abstract = {A subgroup $H$ is said to be $s$-permutable in a group $G$, if $HP=PH$ holds for every Sylow subgroup $P$ of $G$. If there exists a subgroup $B$ of $G$ such that $HB=G$ and $H$ permutes with every Sylow subgroup of $B$, then $H$ is said to be $SS$-quasinormal in $G$. In this paper, we say that $H$ is a weakly $SS$-quasinormal subgroup of $G$, if there is a normal subgroup $T$ of $G$ such that $HT$ is $s$-permutable and $H\cap T$ is $SS$-quasinormal in $G$. By assuming that some subgroups of $G$ with prime power order have the weakly $SS$-quasinormal properties, we get some new characterizations about the hypercyclically embedded subgroups of $G$. A series of known results in the literature are unified and generalized.},
keywords = {$s$-permutable,weakly $SS$-quasinormal,$p$-nilpotent,hypercyclically embedded},
url = {https://ijgt.ui.ac.ir/article_4950.html},
eprint = {https://ijgt.ui.ac.ir/article_4950_c0915a41877e3a4bb1db406fbaca42cf.pdf}
}