{
  "id": "math/0310127",
  "version": "v1",
  "published": "2003-10-09T14:18:46.000Z",
  "updated": "2003-10-09T14:18:46.000Z",
  "title": "Automorphisms of Coxeter groups",
  "authors": [
    "Patrick Bahls"
  ],
  "comment": "16 pages, no figures. Submitted to Trans. Amer. Math. Soc",
  "categories": [
    "math.GR"
  ],
  "abstract": "We compute Aut(W) for any even Coxeter group whose Coxeter diagram is connected, contains no edges labeled 2, and cannot be separated into more than 2 connected components by removing a single vertex. The description is given explicitly in terms of the given presentation for the Coxeter group and admits an easy characterization of those groups W for which Out(W) is finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-09T14:18:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "20F28"
    ],
    "keywords": [
      "coxeter group",
      "automorphisms",
      "coxeter diagram",
      "single vertex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10127B"
    }
  }
}