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

dc.creatorNguyen, Athena P.
dc.date2008-12-02
dc.date2009-02-24
dc.date.accessioned2026-07-07T12:45:22Z
dc.date.available2026-07-07T12:45:22Z
dc.descriptionA 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.
dc.identifierhttps://arxiv.org/abs/0812.0410
dc.identifierhttp://arxiv.org/abs/0812.0410
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221061
dc.subjectGeneral Topology
dc.subjectGroup Theory
dc.subject22A05 (Primary); 20K45, 54H11 (Secondary)
dc.titleWhich infinite abelian groups admit an almost maximally almost-periodic group topology?
dc.typetext

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