{
  "id": "math/0505288",
  "version": "v1",
  "published": "2005-05-13T15:35:58.000Z",
  "updated": "2005-05-13T15:35:58.000Z",
  "title": "Distortion of wreath products in some finitely presented groups",
  "authors": [
    "Sean Cleary"
  ],
  "comment": "9 pages, 5 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "Wreath products such as Z wr Z are not finitely-presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z wr Z as a subgroup of Thompson's group F and as a subgroup of Baumslag's metabelian group G. We find that Z wr Z is undistorted in F but is at least exponentially distorted in G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-13T15:35:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "wreath products",
      "distortion",
      "baumslags metabelian group",
      "thompsons group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5288C"
    }
  }
}