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arXiv · 2412.08782

Finite groups with dense solitary subgroups

Marius Tărnăuceanu
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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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Marius Tărnăuceanu. 2024-12-11. Finite groups with dense solitary subgroups. https://arxiv.org/abs/2412.08782

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