{
  "id": "math/0602546",
  "version": "v2",
  "published": "2006-02-24T12:45:47.000Z",
  "updated": "2007-09-07T15:13:28.000Z",
  "title": "Galois module structure of Milnor K-theory mod p^s in characteristic p",
  "authors": [
    "Jan Minac",
    "Andrew Schultz",
    "John Swallow"
  ],
  "comment": "v2 (11 pages): minor corrections made",
  "journal": "New York J. Math. 14 (2008), 225-233",
  "categories": [
    "math.NT",
    "math.KT",
    "math.RT"
  ],
  "abstract": "Let E be a cyclic extension of pth-power degree of a field F of characteristic p. For all m, s in N, we determine K_mE/p^sK_mE as a (Z/p^sZ)[Gal(E/F)]-module. We also provide examples of extensions for which all of the possible nonzero summands in the decomposition are indeed nonzero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-09-07T15:13:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19D45",
      "12F10"
    ],
    "keywords": [
      "milnor k-theory mod",
      "galois module structure",
      "characteristic",
      "cyclic extension",
      "pth-power degree"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2546M"
    }
  }
}