Maximally almost periodic subgroups of Abelian groups of prime exponent

TL;DR

The paper proves that every infinite Abelian topological group of prime exponent contains an infinite maximally almost periodic subgroup, advancing understanding of the structure of such groups.

Contribution

It establishes the existence of infinite maximally almost periodic subgroups in all infinite Abelian topological groups of prime exponent, a new structural insight.

Findings

Every infinite Abelian topological group of prime exponent has an infinite maximally almost periodic subgroup.

The result applies to all such groups regardless of additional structure.

This advances the understanding of the subgroup structure in topological Abelian groups.

Abstract

It is proved that any infinite Abelian topological group of prime exponent has an infinite maximally almost periodic subgroup.