{
  "id": "1205.2517",
  "version": "v2",
  "published": "2012-05-11T13:26:55.000Z",
  "updated": "2013-11-07T14:28:28.000Z",
  "title": "Indices of inseparability for elementary abelian p-extensions",
  "authors": [
    "Kevin Keating"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let K be a local field whose residue field is a finite field of characteristic p, and let L/K be a finite totally ramified Galois extension. Fried and Heiermann defined the \"indices of inseparability\" of L/K, a refinement of the ramification data of L/K. We give a method for computing the indices of inseparability of the extension L/K in terms of the norm group N_{L/K}(L^*) in the case where K has characteristic p and Gal(L/K) is an elementary abelian p-group with a single ramification break. In some cases our methods lead to simple formulas for the indices of inseparability.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-07T14:28:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S15",
      "11S31"
    ],
    "keywords": [
      "elementary abelian p-extensions",
      "inseparability",
      "finite totally ramified galois extension",
      "single ramification break",
      "elementary abelian p-group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2517K"
    }
  }
}