Three-generator Artin groups of large type are biautomatic

被引：38

作者：

Brady, T

McCammond, JP ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Dublin City Univ, Dept Math, Dublin 9, Ireland

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2000年 / 151卷 / 01期

关键词：

D O I：

10.1016/S0022-4049(99)00094-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we construct a piecewise Euclidean, non-positively curved 2-complex for the 3-generator Artin groups of large type. As a consequence we show that these groups are biautomatic. A slight modification of the proof shows that many other Artin groups are also biautomatic. The general question (whether all Artin groups are biautomatic) remains open. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 20F32; 20F36; 57M07; 57M20.

引用

页码：1 / 9

页数：9

共 6 条

[1]

BALLMANN W, 1990, PROGR MATH, V83

[2] ARTIN GROUPS OF FINITE-TYPE ARE BIAUTOMATIC [J].