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arXiv 0812.04102008-12math.GNmath.GR

哪些无限阿贝尔群允许几乎极大几乎周期群拓扑？

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

Athena P. Nguyen

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摘要：

一个拓扑群G称为几乎极大几乎周期群，如果它的冯诺依曼根是非平凡但有限的。本文证明了具有无穷扭子群的阿贝尔群存在一个（Hausdorff）几乎极大几乎-周期群拓扑.一些开放的问题也制定。

英文摘要：

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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