{
  "id": "1306.5422",
  "version": "v2",
  "published": "2013-06-23T15:06:46.000Z",
  "updated": "2014-04-07T15:46:51.000Z",
  "title": "Indices of inseparability and refined ramification breaks",
  "authors": [
    "Kevin Keating"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let K be a finite extension of Q_p and let L/K be a totally ramified (Z/pZ)^2-extension which has a single ramification break b. Byott and Elder defined a \"refined ramification break\" b_* for L/K. In this paper we prove that if p>2 and the index of inseparability i_1 of L/K is not equal to p^2b-pb then b_*=i_1-p^2b+pb+b.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-07T15:46:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S15"
    ],
    "keywords": [
      "refined ramification break",
      "inseparability",
      "single ramification break",
      "finite extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.5422K"
    }
  }
}