{
  "id": "math/0406043",
  "version": "v1",
  "published": "2004-06-02T18:33:02.000Z",
  "updated": "2004-06-02T18:33:02.000Z",
  "title": "The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand",
  "authors": [
    "Matthew G. Brin"
  ],
  "comment": "15 pages",
  "doi": "10.1142/S021819670600286X",
  "categories": [
    "math.GR"
  ],
  "abstract": "Presentations are computed for a braided version BV of Thompson's group V and for V itself showing that there is an Artin group/Coxeter group relation between them. The presentation for V is obtained from that for BV by declaring all that all generators are involutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-02T18:33:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05"
    ],
    "keywords": [
      "braid group",
      "presentation",
      "strand splitting",
      "artin group/coxeter group relation",
      "thompsons group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6043B"
    }
  }
}