{
  "id": "math/0610423",
  "version": "v2",
  "published": "2006-10-12T23:43:25.000Z",
  "updated": "2007-01-05T20:23:26.000Z",
  "title": "Groups which do not admit ghosts",
  "authors": [
    "Sunil K. Chebolu",
    "J. Daniel Christensen",
    "Jan Minac"
  ],
  "comment": "9 pages, improved exposition and fixed several typos, to appear in the Proceedings of the AMS",
  "journal": "Proc. Amer. Math. Soc. 136 (2008) 1171-1179",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "A ghost in the stable module category of a group G is a map between representations of G that is invisible to Tate cohomology. We show that the only non-trivial finite p-groups whose stable module categories have no non-trivial ghosts are the cyclic groups of order 2 and 3. We compare this to the situation in the derived category of a commutative ring. We also determine for which groups G the second power of the Jacobson radical of kG is stably isomorphic to a suspension of k.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-05T20:23:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "20J06",
      "55P42"
    ],
    "keywords": [
      "admit ghosts",
      "stable module category",
      "non-trivial finite p-groups",
      "second power",
      "cyclic groups"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10423C"
    }
  }
}