Three-generator Artin groups of large type are biautomatic

Details Three-generator Artin groups of large type are biautomatic Three-generator Artin groups of large type are biautomatic

1998-09-29

arxiv.org/abs/math/9809174v1

Mathematics

Group Theory

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

Scientific paper

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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