Coxeter groups act on CAT(0) cube complexes

被引：70

作者：

Niblo, GA ^{[1
]}

Reeves, LD

机构：

[1] Univ Southampton, Fac Math Studies, Southampton SO17 1BJ, Hants, England

[2] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

JOURNAL OF GROUP THEORY | 2003年 / 6卷 / 03期

关键词：

D O I：

10.1515/jgth.2003.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any finitely generated Coxeter group acts properly discontinuously on a locally finite-finite-dimensional CAT(0) cube complex. For any word-hyperbolic or right-angled Coxeter group we prove that the cubing is cocompact. We show how the local structure of the cubing is related to the partial order studied by Brink and Howlett in their proof of automaticity for Coxeter groups.

引用

页码：399 / 413

页数：15

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