Reflection groups of geodesic spaces and Coxeter groups

被引：5
|
作者：
Hosaka, Tetsuya [1 ]
机构：
[1] Utsunomiya Univ, Dept Math, Utsunomiya, Tochigi 3218505, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 11期
关键词：
reflection groups; Coxeter groups;
D O I：
10.1016/j.topol.2005.06.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
H.S.M. Coxeter showed that a group Gamma is a finite reflection group of an Euclidean space if and only if Gamma is a finite Coxeter group. In this paper, we define reflections of geodesic spaces in general, and we prove that Gamma is a cocompact discrete reflection group of some geodesic space if and only if Gamma is a Coxeter group. (C) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：1860 / 1866
页数：7
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