{
  "id": "math/0007211",
  "version": "v1",
  "published": "2000-07-20T00:00:00.000Z",
  "updated": "2000-07-20T00:00:00.000Z",
  "title": "Relatively projective groups as absolute Galois groups",
  "authors": [
    "Jochen Koenigsmann"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "By two well-known results, one of Ax, one of Lubotzky and van den Dries, a profinite group is projective iff it is isomorphic to the absolute Galois group of a pseudo-algebraically closed field. This paper gives an analogous characterization of relatively projective profinite groups as absolute Galois groups of regularly closed fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-20T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "absolute galois group",
      "relatively projective groups",
      "van den dries",
      "well-known results",
      "relatively projective profinite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7211K"
    }
  }
}