{
  "id": "1203.0359",
  "version": "v1",
  "published": "2012-03-02T03:24:11.000Z",
  "updated": "2012-03-02T03:24:11.000Z",
  "title": "The Multinorm Principle For Linearly Disjoint Galois Extensions",
  "authors": [
    "Timothy P. Pollio",
    "Andrei S. Rapinchuk"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let L_1 and L_2 be finite separable extensions of a global field K, and let E_i be the Galois closure of L_i over K for i=1,2. We establish a local-global principle for the product of norms from L_1 and L_2 (so-called multinorm principle) provided that the extensions E_1 and E_2 are linearly disjoint over K.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-02T03:24:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linearly disjoint galois extensions",
      "multinorm principle",
      "finite separable extensions",
      "global field",
      "galois closure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.0359P"
    }
  }
}