Two-dimensional Artin groups with CAT(0) dimension three

被引：14

作者：

Brady, N

Crisp, J

机构：

[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

[2] Univ Bourgogne, Lab Topol, CNRS, UMR 5584, F-21078 Dijon, France

来源：

GEOMETRIAE DEDICATA | 2002年 / 94卷 / 01期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

Artin group; dimension; nonpositive curvature;

D O I：

10.1023/A:1020962804856

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We exhibit 3-generator Artin groups which have finite two-dimensional Eilenberg-Mac Lane spaces, but which do not act properly discontinuously by semi-simple isometrics on a two-dimensional CAT(0) complex. We prove that infinitely many of these groups are the fundamental groups of compact, non-positively curved 3-complexes. These examples show that the geometric dimension of a CAT(0) group may be strictly less than its CAT(0) dimension.

引用

页码：185 / 214

页数：30

共 19 条

[1] Non-positively curved aspects of Artin groups of finite type [J].