Three-generator Artin groups of large type are biautomatic

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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.
8 pages, See also http://www.math.tamu.edu/~mccammon/

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Group Theory, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/77464

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809174
 http://arxiv.org/abs/math/9809174

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arXiv