4 papers · 1 filter
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…
Profinite rigidity of affine Coxeter groups
Samuel M. Corson, Sam Hughes, Philip Möller +1
We prove that affine Coxeter groups are profinitely rigid.
Involutions in Coxeter groups
Anna Michael, Yuri Santos Rego, Petra Schwer +1
We combinatorially characterize the number of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally genera…
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…