Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China
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.
Mao, Y., Chen, X., & Guo, W. (2015). On weakly $\mathfrak{F}_{s}$-quasinormal subgroups of finite groups. Bulletin of the Iranian Mathematical Society, 41(3), 665-675.
MLA
Y. Mao; X. Chen; W. Guo. "On weakly $\mathfrak{F}_{s}$-quasinormal subgroups of finite groups". Bulletin of the Iranian Mathematical Society, 41, 3, 2015, 665-675.
HARVARD
Mao, Y., Chen, X., Guo, W. (2015). 'On weakly $\mathfrak{F}_{s}$-quasinormal subgroups of finite groups', Bulletin of the Iranian Mathematical Society, 41(3), pp. 665-675.
VANCOUVER
Mao, Y., Chen, X., Guo, W. On weakly $\mathfrak{F}_{s}$-quasinormal subgroups of finite groups. Bulletin of the Iranian Mathematical Society, 2015; 41(3): 665-675.
)