Reflection groups of geodesic spaces and Coxeter groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71366H.S.M. Coxeter showed that a group $Γ$ is a finite reflection group of an Euclidean space if and only if $Γ$ is a finite Coxeter group. In this paper, we define {\it reflections} of geodesic spaces in general, and we prove that $Γ$ is a cocompact discrete reflection group of some geodesic space if and only if $Γ$ is a Coxeter group.Group Theory57M07, 20F55, 20F65Reflection groups of geodesic spaces and Coxeter groupstext