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math.GR2004
Coxeter systems with two-dimensional Davis-Vinberg complexes
Tetsuya Hosaka
In this paper, we study Coxeter systems with two-dimensional Davis-Vinberg complexes. We show that for a Coxeter group , if and are Coxeter systems with two-dim…
math.GR2004
Reflection groups of geodesic spaces and Coxeter groups
Tetsuya Hosaka
H.S.M. Coxeter showed that a group is a finite reflection group of an Euclidean space if and only if is a finite Coxeter group. In this paper, we define {\it reflections} o…