%0 Journal Article
%T On soluble groups whose subnormal subgroups are inert
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Dardano, Ulderico
%A Rinauro, Silvana
%D 2015
%\ 06/01/2015
%V 4
%N 2
%P 17-24
%! On soluble groups whose subnormal subgroups are inert
%K commensurable
%K strongly inert
%K finitely generated
%K HNN-extension
%R 10.22108/ijgt.2015.9373
%X A subgroup H of a group G is called inert if, for each $g\in G$, the index of $H\cap H^g$ in $H$ is finite. We give a classification of soluble-by-finite groups $G$ in which subnormal subgroups are inert in the cases where $G$ has no nontrivial torsion normal subgroups or $G$ is finitely generated.
%U https://ijgt.ui.ac.ir/article_9373_1b5f405a32618ca02d6d467026ade139.pdf