{
  "id": "math/9910140",
  "version": "v1",
  "published": "1999-10-26T18:48:57.000Z",
  "updated": "1999-10-26T18:48:57.000Z",
  "title": "On a property of special groups",
  "authors": [
    "Zinovy Reichstein",
    "Boris Youssin"
  ],
  "comment": "AMS LaTeX 1.1, 4 pages. Author-supplied dvi file available at http://ucs.orst.edu/~reichstz/pub.html",
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "Let G be an algebraic group defined over an algebraically closed field k of characteristic zero. We give a simple proof of the following result: if H^1(L, G) = {1} for some finitely generated field extension L/k of transcendence degree \\ge 3 then H^1(K, G) = {1} for every field extension K/k.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-10-26T18:48:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special groups",
      "field extension k/k",
      "finitely generated field extension l/k",
      "simple proof",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....10140R"
    }
  }
}