{
  "id": "1309.1253",
  "version": "v1",
  "published": "2013-09-05T08:02:38.000Z",
  "updated": "2013-09-05T08:02:38.000Z",
  "title": "The Nonexistence of Certain Representations of the Absolute Galois Group of Quadratic Fields",
  "authors": [
    "Mehmet Haluk Sengun"
  ],
  "journal": "Proc. Amer. Math Soc. 137 (2009), 27-35",
  "categories": [
    "math.NT"
  ],
  "abstract": "For a quadratic field K, we investigate continuous mod p representations of the absolute Galois groups of K that are unramified away from p and infinity. We prove that for certain pairs (K,p), there are no such irreducible representations. We also list some imaginary quadratic fields for which such irreducible representations exist. As an application, we look at elliptic curves with good reduction away from 2 over quadratic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-05T08:02:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "absolute galois group",
      "nonexistence",
      "imaginary quadratic fields",
      "irreducible representations",
      "elliptic curves"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1253H"
    }
  }
}