{
  "id": "0805.1168",
  "version": "v1",
  "published": "2008-05-08T13:55:19.000Z",
  "updated": "2008-05-08T13:55:19.000Z",
  "title": "Note on 2-rational fields",
  "authors": [
    "Georges Gras",
    "Jean-François Jaulent"
  ],
  "comment": "This Note is motivated by the paper ``Galois 2-extensions unramified outside 2'' of J. Jossey. We bring into focus some classical technics on abelian $\\ell$-ramification which considerably simplify proofs in such subjects; for instance, the main Theorem 2, due to J-F. Jaulent, generalizes the purpose of Jossey's paper",
  "categories": [
    "math.NT"
  ],
  "abstract": "We compute the Galois group of the maximal 2-ramified and complexified pro-2-extension of any 2-rational number field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-08T13:55:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R32",
      "11R34",
      "11R37",
      "11R70"
    ],
    "keywords": [
      "galois group",
      "number field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1168G"
    }
  }
}