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

页码：1860 / 1866

页数：7

共 7 条

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[2]

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ANNALS OF MATHEMATICS, 1934, 35 :588-621

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DAVIS, MW .

ANNALS OF MATHEMATICS, 1983, 117 (02) :293-324

[5]

DAVIS MW, 2002, HDB GEOMETRIC TOPOLO, P373

[6]

Moussong Gabor, 1988, Hyperbolic Coxeter groups

[7]

[No title captured]

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