{
  "id": "0902.1218",
  "version": "v1",
  "published": "2009-02-07T04:08:35.000Z",
  "updated": "2009-02-07T04:08:35.000Z",
  "title": "The classification of torsion-free abelian groups of finite rank up to isomorphism and up to quasi-isomorphism",
  "authors": [
    "Samuel Coskey"
  ],
  "comment": "This is a part of my doctoral thesis. 23 pages, 1 figure",
  "doi": "10.1090/S0002-9947-2011-05349-3",
  "categories": [
    "math.LO"
  ],
  "abstract": "The isomorphism and quasi-isomorphism relations on the $p$-local torsion-free abelian groups of rank $n\\geq3$ are incomparable with respect to Borel reducibility.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-07T04:08:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "20K15"
    ],
    "keywords": [
      "finite rank",
      "classification",
      "local torsion-free abelian groups",
      "quasi-isomorphism relations",
      "borel reducibility"
    ],
    "tags": [
      "dissertation",
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.1218C"
    }
  }
}