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.
On soluble groups whose subnormal subgroups are inert / Dardano, Ulderico; Rinauro, Silvana. - In: INTERNATIONAL JOURNAL OF GROUP THEORY. - ISSN 2251-7650. - 4:2(2015), pp. 17-24.
On soluble groups whose subnormal subgroups are inert
DARDANO, ULDERICO;
2015
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.File in questo prodotto:
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