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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… Click to show full 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 [8], [9] and [4].
Keywords:
polish topologies;
graph products;
topology;
cyclic groups;
topologies graph;
products cyclic
Journal Title: Israel Journal of Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Israel Journal of Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!