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arXiv · 2503.12302

Finite groups with dense ${\cal CD}$-subgroups

Ryan McCulloch·Marius Tărnăuceanu
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Abstract

A group $G$ is said to have dense ${\cal CD}$-subgroups if each non-empty open interval of the subgroup lattice $L(G)$ contains a subgroup in the Chermak--Delgado lattice ${\cal CD}(G)$. In this note, we study finite groups satisfying this property.

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Ryan McCulloch, Marius Tărnăuceanu. 2025-03-16. Finite groups with dense ${\cal CD}$-subgroups. https://arxiv.org/abs/2503.12302

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