On soluble groups whose subnormal subgroups are inert

Author(s):

Ulderico Dardano , Silvana Rinauro

Abstract:
A subgroup H of a group G is called inert if, for each g∈G, the index of H∩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.
Keywords:

commensurable , strongly inert , finitely generated , HNN , extension

Language:
English
Published:
International Journal of Group Theory, Volume:4 Issue: 2, Jun 2015
Pages:
17 to 24
https://www.magiran.com/p1422615