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Three-generator Artin groups of large type are biautomatic

Thomas Brady·Jonathan P. McCammond
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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.

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Thomas Brady, Jonathan P. McCammond. 1998-09-29. Three-generator Artin groups of large type are biautomatic. https://arxiv.org/abs/math/9809174

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