Polish topologies for graph products of cyclic groups

by Paolini and Shelah. [PaSh:1115]

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]. %[shelah], [shelah_1] and %[paolini&shelah].


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