Which infinite abelian groups admit an almost maximally almost-periodic group topology?
General Topology
2009-02-24 v2 Group Theory
Abstract
A topological group G is said to be almost maximally almost-periodic if its von Neumann radical is non-trivial, but finite. In this paper, we prove that every abelian group with an infinite torsion subgroup admits a (Hausdorff) almost maximally almost-periodic group topology. Some open problems are also formulated.
Keywords
Cite
@article{arxiv.0812.0410,
title = {Which infinite abelian groups admit an almost maximally almost-periodic group topology?},
author = {Athena P. Nguyen},
journal= {arXiv preprint arXiv:0812.0410},
year = {2009}
}