Finite groups with dense solitary subgroups

2024/12/11 by Marius Tărnăuceanu, Tărnăuceanu, Marius
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2412.08782

openalex publication_date 2024/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A group G is said to have dense solitary subgroups if each non-empty open interval in its subgroup lattice L(G) contains a solitary subgroup. In this short note, we find all finite groups satisfying this property.

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