Which infinite abelian groups admit an almost maximally almost-periodic group topology?

2008/12/02 by Nguyen, Athena P.
#20K45 #22A05 (Primary) #54H11 (Secondary) #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0812.0410

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.

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