{
  "id": "math/0412242",
  "version": "v2",
  "published": "2004-12-13T10:16:42.000Z",
  "updated": "2005-03-15T10:21:16.000Z",
  "title": "Vanishing of eigenspaces and cyclotomic fields",
  "authors": [
    "Robert Osburn"
  ],
  "comment": "6 pages, minor corrections made, to appear in the International Mathematics Research Notices",
  "journal": "IMRN, no. 20, (2005), 1195-1202",
  "categories": [
    "math.NT"
  ],
  "abstract": "We use a result of Thaine to give an alternative proof of the fact that, for a prime p>3 congruent to 3 modulo 4, the component e_{(p+1)/2} of the p-Sylow subgroup of the ideal class group of \\mathbb Q(\\zeta_{p}) is trivial.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-15T10:21:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R18",
      "11T22"
    ],
    "keywords": [
      "cyclotomic fields",
      "eigenspaces",
      "ideal class group",
      "p-sylow subgroup",
      "alternative proof"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12242O"
    }
  }
}