2 00 8 Which infinite abelian torsion groups admit an almost maximally almost - periodic group topology ? *
نویسنده
چکیده
A topological group G is said to be almost maximally almost-periodic if its von Neumann radical n(G) is non-trivial, but finite. In this paper, we prove that (a) every countably infinite abelian torsion group, (b) every abelian torsion group of cardinality greater than continuum, and (c) every (non-trivial) divisible abelian torsion group admits a (Hausdorff) almost maximally almost-periodic group topology. Some open problems are also formulated.
منابع مشابه
Which Infinite Abelian Groups Admit an Almost Maximally Almost-periodic Group Topology?
A topological group G is said to be almost maximally almost-periodic if its von Neumann radical n(G) 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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