Profinite properties of Coxeter groups

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• Olga Varghese (Universität Münster)
• Tuesday 29 July 2025, 10:15-11:15
• Seminar Room 1, Newton Institute.

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OGGW01 - Discrete and profinite groups

We prove a number of results about profinite completions of Coxeter groups. For example we prove Coxeter groups are good in the sense of Serre and that various splittings of Coxeter groups arising from actions on trees are detected by the profinite completion. As an application we prove a number of families Coxeter groups are profinitely rigid amongst Coxeter groups. We also prove that hyperbolic FC type, large type, and odd Coxeter groups are almost profinitely rigid amongst Coxeter groups.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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