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arXiv · 2308.04433

Locally graded groups with all non-nilpotent subgroups permutable, II

Sevgi Atlihan·Martyn R. Dixon·Martin J. Evans
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Abstract

Let $G$ be a locally graded group and suppose that every non-nilpotent subgroup of $G$ is permutable. We prove that $G$ is soluble. (In light of previous results of the authors, it suffices to prove that $G$ is soluble if it is periodic.

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Sevgi Atlihan, Martyn R. Dixon, Martin J. Evans. 2023-07-18. Locally graded groups with all non-nilpotent subgroups permutable, II. https://arxiv.org/abs/2308.04433

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