Polish topologies for graph products of cyclic groups

Gianluca Paolini*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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].

Original languageEnglish
Pages (from-to)305-319
Number of pages15
JournalIsrael Journal of Mathematics
Volume228
Issue number1
DOIs
StatePublished - 1 Oct 2018

Bibliographical note

Publisher Copyright:
© 2018, Hebrew University of Jerusalem.

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