Locally graded groups with all non-nilpotent subgroups permutable, II
Group Theory
2023-08-10 v1
Abstract
Let be a locally graded group and suppose that every non-nilpotent subgroup of is permutable. We prove that is soluble. (In light of previous results of the authors, it suffices to prove that is soluble if it is periodic.
Keywords
Cite
@article{arxiv.2308.04433,
title = {Locally graded groups with all non-nilpotent subgroups permutable, II},
author = {Sevgi Atlihan and Martyn R. Dixon and Martin J. Evans},
journal= {arXiv preprint arXiv:2308.04433},
year = {2023}
}