{
  "id": "math/0603055",
  "version": "v1",
  "published": "2006-03-02T18:46:56.000Z",
  "updated": "2006-03-02T18:46:56.000Z",
  "title": "Asymptotic Dimension of Discrete Groups",
  "authors": [
    "A. Dranishnikov",
    "J. Smith"
  ],
  "comment": "8 pages",
  "journal": "Fund. Math., 189, (2006), 27-34",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-02T18:46:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F69"
    ],
    "keywords": [
      "asymptotic dimension",
      "discrete groups",
      "hurewicz type theorem proven",
      "extend gromovs notion",
      "general groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3055D"
    }
  }
}