Geodesic
On the structure of some groups having finite contranormal subgroups
Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 109-119

Voir la notice de l'article provenant de la source Math-Net.Ru

Following J. S. Rose, a subgroup $H$ of the group $G$ is said to be contranormal in $G$, if $G=H^{G}$. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal $p$-subgroup.
Keywords: contranormal subgroups, Abelian-by-nilpotent groups, hypercenter of a group, $G$-eccentric subgroups, rationally irreducible subgroups. 
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L. A. Kurdachenko; N. N. Semko. On the structure of some groups having finite contranormal subgroups. Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 109-119. http://geodesic.mathdoc.fr/item/ADM_2021_31_1_a6/