@article { author = {Mao, Y. and Chen, X. and Guo, W.}, title = {On weakly $\mathfrak{F}_{s}$-quasinormal subgroups of finite groups}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {41}, number = {3}, pages = {665-675}, year = {2015}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {Let $\mathfrak{F}$ be a formation and $G$ a finite group. A subgroup $H$ of $G$ is said to be weakly $\mathfrak{F}_{s}$-quasinormal in $G$ if $G$ has an $S$-quasinormal subgroup $T$ such that $HT$ is $S$-quasinormal in $G$ and $(H\cap T)H_{G}/H_{G}\leq Z_{\mathfrak{F}}(G/H_{G})$, where $Z_{\mathfrak{F}}(G/H_{G})$ denotes the $\mathfrak{F}$-hypercenter of $G/H_{G}$. In this paper, we study the structure of finite groups by using the concept of weakly $\mathfrak{F}_{s}$-quasinormal subgroup.}, keywords = {F-hypercenter,weakly Fs-quasinormal subgroups,Sylow subgroups,p-nilpotence,supersolubility}, url = {http://bims.iranjournals.ir/article_641.html}, eprint = {http://bims.iranjournals.ir/article_641_943c644d2220d44e9e8b2bca28726322.pdf} }