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Finitely generated subgroups as von Neumann radicals of an Abelian group

Journal: Matematychni Studii (Vol.38, No. 2)

Publication Date:

Authors : ;

Page : 124-138

Keywords : characterized group; T-sequence; von Neumann radical; finitely generated subgroup;

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Abstract

Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G. It is proved that every infinite finitely generated Abelian group admits a complete Hausdorff minimally almost periodic group topology. The latter result resolves a particular case of Comfort’s problem.

Last modified: 2014-01-13 20:08:27