{
  "id": "math/0701052",
  "version": "v1",
  "published": "2007-01-02T10:02:42.000Z",
  "updated": "2007-01-02T10:02:42.000Z",
  "title": "On the m-torsion Subgroup of the Brauer Group of a Global Field",
  "authors": [
    "Wen-Chen Chi",
    "Hung-Min Liao",
    "Ki-Seng Tan"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note, we give a short proof of the existence of certain abelian extension over a given global field $K$. This result implies that for every positive integer $m$, there exists an abelian extension $L/K$ of exponent $m$ such that the $m$-torsion subgroup of $\\Br(K)$ equals $\\Br(L/K)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-02T10:02:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K60",
      "11R29",
      "11R34",
      "11R37",
      "11R56",
      "11R58",
      "11S15",
      "11S37",
      "11S25"
    ],
    "keywords": [
      "global field",
      "brauer group",
      "m-torsion subgroup",
      "abelian extension",
      "short proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1052C"
    }
  }
}