Polish Topologies for Graph Products of Cyclic Groups

Gianluca Paolini; Saharon Shelah

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arXiv · 1705.01815

Polish Topologies for Graph Products of Cyclic Groups

Gianluca Paolini·Saharon Shelah

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Abstract

We give a complete characterization of the graph products of cyclic groups admitting a Polish group topology, and show that they are all realizable as the group of automorphisms of a countable structure. In particular, we characterize the right-angled Coxeter groups (resp. Artin groups) admitting a Polish group topology. This generalizes results from [5], [7] and [4].

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BibTeX RIS

Gianluca Paolini, Saharon Shelah. 2017-05-04. Polish Topologies for Graph Products of Cyclic Groups. https://arxiv.org/abs/1705.01815

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