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