Reflexive group topologies on Abelian groups

TL;DR

This paper proves that any infinite Abelian group with infinite exponent can be endowed with a non-discrete reflexive topology, expanding understanding of topological structures on such groups.

Contribution

It introduces the existence of non-discrete reflexive topologies on infinite Abelian groups of infinite exponent, a novel result in topological group theory.

Findings

Infinite Abelian groups of infinite exponent admit non-discrete reflexive topologies.

Reflexivity can be achieved on a broad class of Abelian groups.

The result broadens the scope of topological group structures available for these groups.

Abstract

It is proved that any infinite Abelian group of infinite exponent admits a non-discrete reflexive group topology.