Finite groups with regular subgroup graph

2025/04/13 by Andrea Lucchini, Lucchini, Andrea
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2504.11480

openalex publication_date 2025/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the subgroup graph of a finite group G is regular if and only if G is cyclic with square-free order.

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