{
  "id": "0807.4704",
  "version": "v2",
  "published": "2008-07-29T16:45:33.000Z",
  "updated": "2008-10-27T18:59:27.000Z",
  "title": "Large scale geometry of commutator subgroups",
  "authors": [
    "Danny Calegari",
    "Dongping Zhuang"
  ],
  "comment": "12 pages, 2 figures; version 2 incorporates referee's comments",
  "journal": "Algebr. Geom. Topol. 8 (2008) no. 4, 2131-2146",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Let G be a finitely presented group, and G' its commutator subgroup. Let C be the Cayley graph of G' with all commutators in G as generators. Then C is large scale simply connected. Furthermore, if G is a torsion-free nonelementary word-hyperbolic group, C is one-ended. Hence (in this case), the asymptotic dimension of C is at least 2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-27T18:59:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "57M07"
    ],
    "keywords": [
      "large scale geometry",
      "commutator subgroup",
      "torsion-free nonelementary word-hyperbolic group",
      "asymptotic dimension",
      "cayley graph"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.4704C"
    }
  }
}