# A characterization of ZM-groups

## TL;DR

This paper characterizes ZM-groups using specific functions and proves a related conjecture, contributing to the understanding of their structure.

## Contribution

It provides a new characterization of ZM-groups based on functions, and proves Conjecture 6 from prior work.

## Key findings

- Characterization of ZM-groups established
- Proof of Conjecture 6 in [4]
- Enhanced understanding of ZM-group functions

## Abstract

In this short note we give a characterization of ZM-groups that uses the functions defined and studied in [3,4]. This leads to a proof of Conjecture 6 in [4].