{
  "id": "math/0410502",
  "version": "v1",
  "published": "2004-10-23T02:02:30.000Z",
  "updated": "2004-10-23T02:02:30.000Z",
  "title": "A_6-extensions of Q and the mod p cohomology of GL(3,Z)",
  "authors": [
    "Avner Ash",
    "David Pollack",
    "Warren Sinnott"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We present six examples of 3-dimensional mod p Galois representations of type A_6 for which we were able to obtain computational evidence for the generalization of Serre's Conjecture proposed by Ash, Doud, Pollack, and Sinnott. We also propose a further refinement of the conjecture corresponding to the \"peu vs. tr`es ramifi'ee\" distinction of Serre.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-23T02:02:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F75",
      "11F80"
    ],
    "keywords": [
      "cohomology",
      "galois representations",
      "computational evidence",
      "serres conjecture",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10502A"
    }
  }
}