{
  "id": "0812.3787",
  "version": "v4",
  "published": "2008-12-19T13:50:14.000Z",
  "updated": "2010-03-11T19:43:36.000Z",
  "title": "A non-abelian Stickelberger theorem",
  "authors": [
    "David Burns",
    "Henri Johnston"
  ],
  "comment": "further revised; 22 pages. To appear in Compositio Mathematica.",
  "doi": "10.1112/S0010437X10004859",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let L/k be a finite Galois extension of number fields with Galois group G. For every odd prime p satisfying certain mild technical hypotheses, we use values of Artin L-functions to construct an element in the centre of the group ring Z_(p)[G] that annihilates the p-part of the class group of L.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-03-11T19:43:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R29",
      "11R33",
      "11R42"
    ],
    "keywords": [
      "non-abelian stickelberger theorem",
      "finite galois extension",
      "class group",
      "odd prime",
      "artin l-functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3787B"
    }
  }
}