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

2023/07/18 by Sevgi Atlıhan, Atlihan, Sevgi, Martyn R. Dixon +2
Mathematics · #20E15 (Primary) 20F19 #20F22 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2308.04433

openalex publication_date 2023/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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