Polish topologies for graph products of cyclic groups

Gianluca Paolini; Saharon Shelah

doi:10.1007/s11856-018-1765-2

Polish topologies for graph products of cyclic groups

Gianluca Paolini^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	305-319
Number of pages	15
Journal	Israel Journal of Mathematics
Volume	228
Issue number	1
DOIs	https://doi.org/10.1007/s11856-018-1765-2
State	Published - 1 Oct 2018

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Publisher Copyright:
© 2018, Hebrew University of Jerusalem.

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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].

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Polish topologies for graph products of cyclic groups

Abstract

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