Polish topologies for graph products of groups

Gianluca Paolini; Saharon Shelah

doi:10.1112/jlms.12219

Polish topologies for graph products of groups

Gianluca Paolini
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	383-403
Number of pages	21
Journal	Journal of the London Mathematical Society
Volume	100
Issue number	2
DOIs	https://doi.org/10.1112/jlms.12219
State	Published - 1 Oct 2019

Bibliographical note

Publisher Copyright:
© 2019 London Mathematical Society

Keywords

03E15
20B27
20F65 (primary)

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10.1112/jlms.12219

Cite this

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author = "Gianluca Paolini and Saharon Shelah",

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month = oct,

day = "1",

doi = "10.1112/jlms.12219",

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AU - Shelah, Saharon

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KW - 03E15

KW - 20B27

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Polish topologies for graph products of groups

Abstract

Bibliographical note

Keywords

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