Polish topologies for graph products of groups

Gianluca Paolini, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We give strong necessary conditions on the admissibility of a Polish group topology for an arbitrary graph product of groups G(Γ,Ga), and use them to give a characterization modulo a finite set of nodes. As a corollary, we give a complete characterization in case all the factor groups Ga are countable.

Original languageEnglish
Pages (from-to)383-403
Number of pages21
JournalJournal of the London Mathematical Society
Volume100
Issue number2
DOIs
StatePublished - 1 Oct 2019

Bibliographical note

Publisher Copyright:
© 2019 London Mathematical Society

Keywords

  • 03E15
  • 20B27
  • 20F65 (primary)

Fingerprint

Dive into the research topics of 'Polish topologies for graph products of groups'. Together they form a unique fingerprint.

Cite this