On groups whose subnormal subgroups are inert

Ulderico Dardano; Silvana Rinauro

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arXiv · 1412.2283

On groups whose subnormal subgroups are inert

Ulderico Dardano·Silvana Rinauro

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Abstract

A subgroup H of a group G is called inert if for each $g\in G$ the index of $H\cap H^g$ 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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Ulderico Dardano, Silvana Rinauro. 2014-12-06. On groups whose subnormal subgroups are inert. https://arxiv.org/abs/1412.2283

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