Geodesic
Finite groups with given systems of propermutable subgroups
Eurasian mathematical journal, Tome 15 (2024) no. 1, pp. 91-97.

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Let $H$ be a subgroup of a finite group $G$. Then we say that $H$ is propermutable in $G$ provided $G$ has a subgroup $B$ such that $G = NG(H)B$ and $H$ permutes with all subgroups of $B$. In this paper, we present new properties of propermutable subgroups. Also we provide new information on the structure of a group with propermutable Sylow (Hall, maximal) subgroups and a group $G = AB$ with propermutable subgroups $A$ and $B$. 
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A. A. Trofimuk. Finite groups with given systems of propermutable subgroups. Eurasian mathematical journal, Tome 15 (2024) no. 1, pp. 91-97. http://geodesic.mathdoc.fr/item/EMJ_2024_15_1_a7/

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