On the sum of element orders of finite abelian groups

TL;DR

This paper investigates the properties of the sum of element orders in finite abelian groups, aiming to understand its behavior and potential applications in group theory.

Contribution

It introduces new properties and insights into the sum of element orders specific to finite abelian groups, expanding theoretical understanding.

Findings

Identifies key properties of the sum of element orders

Establishes bounds and relationships for finite abelian groups

Provides theoretical results relevant to group order analysis

Abstract

In this note some properties of the sum of element orders of a finite abelian group are studied.