{ "id": "math/9809174", "version": "v1", "published": "1998-09-29T16:12:08.000Z", "updated": "1998-09-29T16:12:08.000Z", "title": "Three-generator Artin groups of large type are biautomatic", "authors": [ "Thomas Brady", "Jonathan P. McCammond" ], "comment": "8 pages, See also http://www.math.tamu.edu/~mccammon/", "categories": [ "math.GR", "math.GT" ], "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.", "revisions": [ { "version": "v1", "updated": "1998-09-29T16:12:08.000Z" } ], "analyses": { "keywords": [ "three-generator artin groups", "large type", "biautomatic", "slight modification", "general question" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......9174B" } } }