Geodesic
On $\mathfrak F_h$-normal subgroups of finite groups
Problemy fiziki, matematiki i tehniki, no. 3 (2010), pp. 63-68

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Let $G$ be a finite group and $\mathfrak F$ a formation of finite groups. We say that a subgroup $H$ of $G$ is $\mathfrak F_h$-normal in $G$ if there exists a normal subgroup $T$ of $G$ such that $HT$ is a normal Hall subgroup of $G$ and $(H \cap T)H_G/H_G$ is contained in the $\mathfrak F$-hypercenter $Z_\propto^\mathfrak F(G/H_G)$ of $G/H_G$. In this paper, we obtain some results about the $\mathfrak F_h$-normal subgroups and use them to study the structure of finite groups.
Keywords: finite groups, $\mathfrak F_h$-normal subgroup, Sylow subgroup, maximal subgroup, minimal subgroup. 
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     author = {Yufeng Liu and Xiuxian Feng and Jianhong Huang},
     title = {On $\mathfrak F_h$-normal subgroups of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {63--68},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2010_3_a9/}
}
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Yufeng Liu; Xiuxian Feng; Jianhong Huang. On $\mathfrak F_h$-normal subgroups of finite groups. Problemy fiziki, matematiki i tehniki, no. 3 (2010), pp. 63-68. http://geodesic.mathdoc.fr/item/PFMT_2010_3_a9/