| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661495 | Topology and its Applications | 2006 | 7 Pages |
Abstract
H.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 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
