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2026/108/1-2 (13) — DOI: 10.5486/PMD.2026.10400 — pp. 251-254

Finite groups with regular subgroup graph

Authors: Andrea Lucchini Orcid.org link for Andrea Lucchini

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.

Keywords: subgroup graph, subgroup lattice, cyclic groups

Mathematics Subject Classification: 20D30, 20D60