Geodesic
Soluble groups with $\mathfrak{F}$-permutable subgroup
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 2, p. 341

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $G$ be a finite group and $\mathfrak{F}$ a class of finite groups. A subgroup $H$ of $G$ is said to be $\mathfrak{F}$-permutable in $G$ if there exists a subgroup $T$ of $G$ such that $HT$ is $s$-permutable in $G$ and $(H\cap T) H_{G}/H_{G}$ is contained in the $\mathfrak{F}$-hypercenter $Z_{\infty}^{\mathfrak{F}}(G/H_{G})$ of $G/H_{G}$. By using this new concept, we establish some new criteria for a group $G$ to be soluble.
Classification : 20D10 20D20
Keywords: $s$-permutable, $\mathfrak{F}$-permutable, Soluble groups 
Changwen Li; Yan Wang. Soluble groups with $\mathfrak{F}$-permutable subgroup. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 2, p. 341 . http://geodesic.mathdoc.fr/item/KJM_2013_37_2_a12/
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     author = {Changwen Li and Yan Wang},
     title = {Soluble groups with $\mathfrak{F}$-permutable subgroup},
     journal = {Kragujevac Journal of Mathematics},
     pages = {341 },
     year = {2013},
     volume = {37},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2013_37_2_a12/}
}
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