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arXiv · 2504.04656

Finite groups with the most Chermak-Delgado measures of subgroups

Guojie Liu·Haipeng Qu·Lijian An
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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.

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Guojie Liu, Haipeng Qu, Lijian An. 2025-04-07. Finite groups with the most Chermak-Delgado measures of subgroups. https://arxiv.org/abs/2504.04656

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