TY - JOUR
T1 - Polish topologies for graph products of cyclic groups
AU - Paolini, Gianluca
AU - Shelah, Saharon
N1 - Publisher Copyright:
© 2018, Hebrew University of Jerusalem.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - 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].
AB - 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].
UR - http://www.scopus.com/inward/record.url?scp=85051678681&partnerID=8YFLogxK
U2 - 10.1007/s11856-018-1765-2
DO - 10.1007/s11856-018-1765-2
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AN - SCOPUS:85051678681
SN - 0021-2172
VL - 228
SP - 305
EP - 319
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -