On weakly $mathfrak{F}_{s}$-quasinormal subgroups of finite groups

نویسندگان

  • W. Guo Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China
  • X. Chen Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China
  • Y. Mao Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China
چکیده مقاله:

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 $(Hcap T)H_{G}/H_{G}leq Z_{mathfrak{F}}(G/H_{G})$, 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.

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عنوان ژورنال

دوره 41  شماره 3

صفحات  665- 675

تاریخ انتشار 2015-06-01

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