{
  "id": "math/0402398",
  "version": "v1",
  "published": "2004-02-24T22:01:21.000Z",
  "updated": "2004-02-24T22:01:21.000Z",
  "title": "Embedding of Coxeter groups in a product of trees",
  "authors": [
    "Alexander Dranishnikov",
    "Viktor Schroeder"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GR",
    "math.MG"
  ],
  "abstract": "We prove that a right angled Coxeter group with chromatic number n can be embedded in a bilipschitz way into the product of n locally finite trees. We give applications of this result to various embedding problems and determine the hyperbolic rank of products of exponentially branching trees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-24T22:01:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "20F65"
    ],
    "keywords": [
      "right angled coxeter group",
      "hyperbolic rank",
      "locally finite trees",
      "chromatic number",
      "bilipschitz way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2398D"
    }
  }
}