{
  "id": "1903.11486",
  "version": "v1",
  "published": "2019-03-27T15:24:49.000Z",
  "updated": "2019-03-27T15:24:49.000Z",
  "title": "Polynomially weighted $\\ell^p$-completions and group homology",
  "authors": [
    "Alexander Engel",
    "Clara Loeh"
  ],
  "comment": "22 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We introduce polynomially weighted $\\ell^p$-norms on the bar complex of a finitely generated group. We prove that, for groups of polynomial or exponential growth, the homology of the completed complex does not depend on the value of $p$ in the range $(1,\\infty)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-27T15:24:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "group homology",
      "completions",
      "bar complex",
      "exponential growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}