Reflection groups of geodesic spaces and Coxeter groups

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dc.creatorHosaka, Tetsuya
dc.date2004-05-28
dc.date.accessioned2026-07-07T05:08:41Z
dc.date.available2026-07-07T05:08:41Z
dc.descriptionH.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.
dc.identifierhttps://arxiv.org/abs/math/0405552
dc.identifierhttp://arxiv.org/abs/math/0405552
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71366
dc.subjectGroup Theory
dc.subject57M07, 20F55, 20F65
dc.titleReflection groups of geodesic spaces and Coxeter groups
dc.typetext

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