{
  "id": "math/0111087",
  "version": "v2",
  "published": "2001-11-07T20:25:37.000Z",
  "updated": "2002-09-06T21:39:02.000Z",
  "title": "On asymptotic dimension of groups acting on trees",
  "authors": [
    "G. Bell",
    "A. Dranishnikov"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove the following theorem: Let $\\pi$ be the fundamental group of a finite graph of groups with finitely generated vertex groups $G_v$ having asdim $G_v\\le n$ for all vertices $v$. Then asdim$\\pi\\le n+1$. This gives the best possible estimate for the asymptotic dimension of an HNN extension and the amalgamated product.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-09-06T21:39:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20H15",
      "20E34",
      "20F69"
    ],
    "keywords": [
      "asymptotic dimension",
      "groups acting",
      "hnn extension",
      "fundamental group",
      "finite graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11087B"
    }
  }
}