Three-generator Artin groups of large type are biautomatic
Group Theory
2007-05-23 v1 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/9809174,
title = {Three-generator Artin groups of large type are biautomatic},
author = {Thomas Brady and Jonathan P. McCammond},
journal= {arXiv preprint arXiv:math/9809174},
year = {2007}
}
Comments
8 pages, See also http://www.math.tamu.edu/~mccammon/