Maximally almost periodic subgroups of elementary Abelian topological groups

2026/05/17 by Ol'ga Sipacheva · 1 voice
Mathematics · #math.GN #math.GR

paper · pdf

arxiv published 2026/05/17 · arxiv updated 2026/06/22

Abstract

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

Citations

• Free Boolean Topological Groups
• Direct sums and products in topological groups and vector spaces

Discussions

• Ol'ga Sipacheva: Maximally almost periodic subgroups of Abelian groups of prime exponent https://arxiv.org/abs/2605.17495 https://arxiv.org/pdf/2605.17495 https://arxiv.org/html/2605.17495 [bsky, 0 points, 0 comments]

Related

• Which infinite abelian groups admit an almost maximally almost-periodic group topology?
• Minimally almost periodic group topology on infinite countable Abelian groups: A solution to Comfort's question
• Characterization of almost maximally almost-periodic groups
• Minimally almost periodic group topology on countable torsion Abelian groups
• Some classes of minimally almost periodic topological groups