Polish Topologies for Graph Products of Cyclic Groups
Logic
2018-01-09 v8
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].
Keywords
Cite
@article{arxiv.1705.01815,
title = {Polish Topologies for Graph Products of Cyclic Groups},
author = {Gianluca Paolini and Saharon Shelah},
journal= {arXiv preprint arXiv:1705.01815},
year = {2018}
}