A subgroup H of a group G is called inert if, for each g in G, the index of H intersection H^g in H is finite. We give a classication 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
RINAURO, Silvana
2015-01-01
Abstract
A subgroup H of a group G is called inert if, for each g in G, the index of H intersection H^g in H is finite. We give a classication 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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