{
  "id": "0909.3639",
  "version": "v1",
  "published": "2009-09-20T15:51:49.000Z",
  "updated": "2009-09-20T15:51:49.000Z",
  "title": "Gröbner-Shirshov bases for braid groups in Adyan-Thurston generators",
  "authors": [
    "Yuqun Chen",
    "Chanyan Zhong"
  ],
  "journal": "Algebra Colloquium, 20(2) (2013), 309--318",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper, we give a Gr\\\"obner-Shirshov basis of the braid group $B_{n+1}$ in Adyan-Thurston generators. We also deal with the braid group of type $\\bf{B}_{n}$. As results, we obtain a new algorithm for getting the Adyan-Thurston normal form, and a new proof that the braid semigroup $B^+_{n+1}$ is the subsemigroup in $B_{n+1}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-20T15:51:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20F05",
      "20F10",
      "16S15",
      "13P10"
    ],
    "keywords": [
      "braid group",
      "adyan-thurston generators",
      "gröbner-shirshov bases",
      "adyan-thurston normal form",
      "braid semigroup"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3639C"
    }
  }
}