{
  "id": "0910.4997",
  "version": "v1",
  "published": "2009-10-26T23:06:19.000Z",
  "updated": "2009-10-26T23:06:19.000Z",
  "title": "On the rank of Coxeter groups",
  "authors": [
    "Mathieu Carette",
    "Richard Weidmann"
  ],
  "comment": "36 pages, 26 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that the standard generating set of a Coxeter group is of minimal cardinality provided that the non-diagonal entries of the Coxeter matrix are sufficiently large.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-26T23:06:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "20F05",
      "20F10",
      "20F65"
    ],
    "keywords": [
      "coxeter group",
      "non-diagonal entries",
      "minimal cardinality",
      "coxeter matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4997C"
    }
  }
}