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

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-16
Primary Topic
Finite Group Theory Research
Type
article
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article

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

ArXiv.org
Finite Group Theory Research
article

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

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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.

ArXiv.org
Openalex Percentile: Top 40%
Finite Group Theory Research
Open Access PDFOpenAlex
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Finite groups with dense ${\cal CD}$-subgroups · ArXiv.org (2025) | TGRS Research Map | TGRS