{
  "id": "2103.11507",
  "version": "v1",
  "published": "2021-03-21T22:42:14.000Z",
  "updated": "2021-03-21T22:42:14.000Z",
  "title": "Intrinsic tame filling functions are equivalent to intrinsic diameter functions",
  "authors": [
    "Andrew Hayes"
  ],
  "comment": "30 pages, 14 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "Intrinsic tame filling functions are quasi-isometry invariants that are refinements of the intrinsic diameter function of a group. The main purpose of this paper is to show that every finite presentation of a group has an intrinsic tame filling function that is equivalent to its intrinsic diameter function. We also introduce some alternative filling functions--based on concepts similar to those used to define intrinsic tame filling functions--that are potential proper refinements of the intrinsic diameter function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-21T22:42:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F05",
      "20F06"
    ],
    "keywords": [
      "intrinsic diameter function",
      "equivalent",
      "define intrinsic tame filling functions-that",
      "potential proper refinements",
      "quasi-isometry invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}