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

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

2008-12-02

arxiv.org/abs/0812.0410v2

Mathematics

General Topology

Scientific paper

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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