{
  "id": "math/0103132",
  "version": "v2",
  "published": "2001-03-22T04:44:05.000Z",
  "updated": "2001-11-03T08:32:38.000Z",
  "title": "Positive presentations of the braid groups and the embedding problem",
  "authors": [
    "Jae Woo Han",
    "Ki Hyoung Ko"
  ],
  "comment": "21 pages, 26 figures, to appear in Math. Z",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "A large class of positive finite presentations of the braid groups is found and studied. It is shown that no presentations but known exceptions in this class have the property that equivalent braid words are also equivalent under positive relations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-11-03T08:32:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M15",
      "20F36",
      "05C25"
    ],
    "keywords": [
      "braid groups",
      "embedding problem",
      "positive presentations",
      "equivalent braid words",
      "positive finite presentations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3132H"
    }
  }
}