{
  "id": "math/9806165",
  "version": "v1",
  "published": "1998-06-15T00:00:00.000Z",
  "updated": "1998-06-15T00:00:00.000Z",
  "title": "On the p-rank of Ext",
  "authors": [
    "Alan H. Mekler",
    "Andrzej Rosłanowski",
    "Saharon Shelah"
  ],
  "journal": "Israel J. Math. 112 (1999) 327-356",
  "categories": [
    "math.LO",
    "math.RA"
  ],
  "abstract": "Assume V=L and lambda is regular smaller than the first weakly compact cardinal. Under those circumstances and with arbitrary requirements on the structure of Ext(G,Z) (under well known limitations), we construct an abelian group G of cardinality lambda such that for no G' subseteq G, |G'|< lambda is G/G' free and Ext(G,Z) realizes our requirements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first weakly compact cardinal",
      "cardinality lambda",
      "regular smaller",
      "arbitrary requirements",
      "abelian group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......6165M"
    }
  }
}