# Sh:1115

• Paolini, G., & Shelah, S. (2018). Polish topologies for graph products of cyclic groups. Israel J. Math., 228(1), 305–319.
• 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 Shelah and Paolini-Shelah.
• published version (15p)
Bib entry
@article{Sh:1115,
author = {Paolini, Gianluca and Shelah, Saharon},
title = {{Polish topologies for graph products of cyclic groups}},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {228},
number = {1},
year = {2018},
pages = {305--319},
issn = {0021-2172},
mrnumber = {3874845},
mrclass = {03E15 (20A15 22A05)},
doi = {10.1007/s11856-018-1765-2},
note = {\href{https://arxiv.org/abs/1705.01815}{arXiv: 1705.01815}},
arxiv_number = {1705.01815}
}