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math.GR2025
Profinite properties of Coxeter groups
Sam Hughes, Philip Möller, Olga Varghese
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 Coxete…
math.GT2025
Profinite rigidity of Kähler groups: Riemann surfaces and subdirect products
Sam Hughes, Claudio Llosa Isenrich, Pierre Py +2
This paper establishes strong profinite rigidity results for Kähler groups, showing that certain groups are determined within the class of residually finite Kähler groups by their…