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Polish topologies for graph products of groups
Author(s) -
Paolini Gianluca,
Shelah Saharon
Publication year - 2019
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12219
Subject(s) - corollary , modulo , countable set , mathematics , graph , combinatorics , discrete mathematics , direct product , characterization (materials science) , network topology , graph product , topology (electrical circuits) , computer science , line graph , 1 planar graph , physics , optics , operating system
We give strong necessary conditions on the admissibility of a Polish group topology for an arbitrary graph product of groups G ( Γ , G a ) , 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 G a are countable.
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