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

Ryan McCulloch; Marius Tărnăuceanu

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

Group Theory 2025-03-18 v1

Authors: Ryan McCulloch , Marius Tărnăuceanu

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.

Keywords

finite group theory group theory topological groups

Cite

@article{arxiv.2503.12302,
  title  = {Finite groups with dense ${\cal CD}$-subgroups},
  author = {Ryan McCulloch and Marius Tărnăuceanu},
  journal= {arXiv preprint arXiv:2503.12302},
  year   = {2025}
}

Comments

Accepted for publication in Int. J. Group Theory

Related papers

View all related →