{
  "id": "math/9908157",
  "version": "v1",
  "published": "1999-08-29T22:30:29.000Z",
  "updated": "1999-08-29T22:30:29.000Z",
  "title": "A non-reflexive Whitehead group",
  "authors": [
    "Paul C. Eklof",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO",
    "math.AC",
    "math.RA"
  ],
  "abstract": "We prove that it is consistent that there is a non-reflexive Whitehead group, in fact one whose dual group is free. We also prove that it is consistent that there is a group A such that Ext(A,Z) is torsion and Hom(A,Z)=0. As an application we show the consistency of the existence of new co-Moore spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-08-29T22:30:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20K35",
      "20K20",
      "03E35",
      "03E75",
      "13L05",
      "18G15",
      "55N10"
    ],
    "keywords": [
      "non-reflexive whitehead group",
      "consistent",
      "co-moore spaces",
      "dual group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......8157E"
    }
  }
}