Finite groups with the most Chermak-Delgado measures of subgroups

Guojie Liu; Haipeng Qu; Lijian An

Finite groups with the most Chermak-Delgado measures of subgroups

Group Theory 2025-04-08 v1

Authors: Guojie Liu , Haipeng Qu , Lijian An

Abstract

Let $G$ be a finite group and $H\leq G$ . The Chermak-Delgado measure of $H$ is defined as the number $|H|\cdot|C_{G}(H)|$ . In this paper, we identify finite groups that exhibit the maximum number of Chermak-Delgado measures under some specific conditions.

Keywords

finite groups Chermak-Delgado measure subgroup mathematics

Cite

@article{arxiv.2504.04656,
  title  = {Finite groups with the most Chermak-Delgado measures of subgroups},
  author = {Guojie Liu and Haipeng Qu and Lijian An},
  journal= {arXiv preprint arXiv:2504.04656},
  year   = {2025}
}

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