{
  "id": "1102.0903",
  "version": "v1",
  "published": "2011-02-04T13:15:36.000Z",
  "updated": "2011-02-04T13:15:36.000Z",
  "title": "On Gras conjecture for imaginary quadratic fields",
  "authors": [
    "Hassan Oukhaba",
    "Stéphane Viguié"
  ],
  "comment": "accepted for publication in Canadian Mathematical Bulletin",
  "doi": "10.4153/CMB-2011-173-1",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we extend methods of Rubin to prove the Gras conjecture for abelian extensions of a given imaginary quadratic field k and prime numbers p which divide the number of roots of unity in k.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-04T13:15:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R27",
      "11R29",
      "11G16"
    ],
    "keywords": [
      "imaginary quadratic field",
      "gras conjecture",
      "abelian extensions",
      "extend methods",
      "prime numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.0903O"
    }
  }
}