Finite groups with the most Chermak-Delgado measures of subgroups

Abstract

Let $G$ be a finite group and $H\le G$. 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.