arXiv:math/9809174 Abstract

arXiv:math/9809174 [math.GR]Abstract References Reviews Resources

Three-generator Artin groups of large type are biautomatic

Published 1998-09-29Version 1

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.

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

Categories: math.GR, math.GT

Keywords: three-generator artin groups, large type, biautomatic, slight modification, general question

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