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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.GR2024★ 2 cited
Profinite rigidity of affine Coxeter groups
Samuel M. Corson, Sam Hughes, Philip Möller +1
We prove that affine Coxeter groups are profinitely rigid.
math.GR2023
Higman-Thompson groups and profinite properties of right-angled Coxeter groups
Samuel M. Corson, Sam Hughes, Philip Möller +1
We prove that every right-angled Coxeter group (RACG) is profinitely rigid amongst all Coxeter groups. On the other hand we exhibit RACGs which have infinite profinite genus amongs…