{
  "id": "1705.02606",
  "version": "v1",
  "published": "2017-05-07T12:35:23.000Z",
  "updated": "2017-05-07T12:35:23.000Z",
  "title": "Automorphism groups over hilbertian fields",
  "authors": [
    "François Legrand",
    "Elad Paran"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "By a classical result of M. Fried (correcting a previous attempt of E. Fried and J. Koll\\'ar), every finite group occurs as the automorphism group of infinitely many finite (field) extensions of $\\mathbb{Q}$ (not necessarily Galois). We extend this result to arbitrary hilbertian fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-07T12:35:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphism group",
      "arbitrary hilbertian fields",
      "finite group occurs",
      "classical result",
      "necessarily galois"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}