On soluble groups whose subnormal subgroups are inert

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....

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Bibliographic Details
Main Authors: Ulderico Dardano, Silvana Rinauro
Format: Article
Language:English
Published: University of Isfahan 2015-06-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_9373_1b5f405a32618ca02d6d467026ade139.html