Geodesic
Finite groups with a~system of generalized central elements
Algebra and discrete mathematics, no. 4 (2004), pp. 66-78

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Let $H$ be a normal subgroup of a finite group $G$. A number of authors have investigated the structure of $G$ under the assumption that all minimal or maximal subgroups in Sylow subgroups of $H$ are well-situated in $G$. A general approach to the results of that kind is proposed in this article. The author has found the conditions for $p$-elements of $H$ under which $G$-chief $p$-factors of $H$ are $\mathfrak{F}$-central in $G$.
Keywords: finite group
Mots-clés : $Qf$-central element, formation. 
@article{ADM_2004_4_a5,
     author = {Olga Shemetkova},
     title = {Finite groups with a~system of generalized central elements},
     journal = {Algebra and discrete mathematics},
     pages = {66--78},
     publisher = {mathdoc},
     number = {4},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2004_4_a5/}
}
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Olga Shemetkova. Finite groups with a~system of generalized central elements. Algebra and discrete mathematics, no. 4 (2004), pp. 66-78. http://geodesic.mathdoc.fr/item/ADM_2004_4_a5/