A result on the Chermak-Delgado measure of a finite group

TL;DR

This paper characterizes finite groups where every non-trivial cyclic subgroup has an identical Chermak-Delgado measure, providing insight into the structure of such groups.

Contribution

It identifies and describes all finite groups with uniform Chermak-Delgado measures across their non-trivial cyclic subgroups.

Findings

Finite groups with uniform Chermak-Delgado measures are characterized.

The structure of these groups is explicitly described.

The result advances understanding of subgroup measures in finite groups.

Abstract

In this short note, we describe finite groups all of whose non-trivial cyclic subgroups have the same Chermak-Delgado measure.