{
  "id": "math/0112187",
  "version": "v2",
  "published": "2001-12-18T21:53:29.000Z",
  "updated": "2003-08-13T16:32:18.000Z",
  "title": "Homology of holomorphs of free groups",
  "authors": [
    "Craig A. Jensen"
  ],
  "comment": "Revised using helpful comments of referee. Accepted by J. Algebra. J. Algebra has agreed to host the Maple program files (currently on my web page) on their site",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "The holomorph of a free group $F_n$ is the semidirect product $F_n \\rtimes Aut(F_n)$. Using the methods of Hatcher and Vogtmann, we derive stability results and calculate the mod-$p$ homology of these holomorphs for odd primes $p$ in dimensions 1 and 2, and their rational homology in dimensions 1 through 5. Calculations of the twisted (where $Aut(F_n)$ acts by first projecting to $Gl_n(\\Z)$ and then including in $Gl_n(\\Q)$) homology $H_*(Aut(F_n); \\Q^n)$ follow in corresponding dimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-08-13T16:32:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F32",
      "20J05",
      "20F28",
      "55N91"
    ],
    "keywords": [
      "free group",
      "semidirect product",
      "odd primes",
      "rational homology",
      "derive stability results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12187J"
    }
  }
}