{
  "id": "2010.01281",
  "version": "v1",
  "published": "2020-10-03T05:00:09.000Z",
  "updated": "2020-10-03T05:00:09.000Z",
  "title": "Constructions using Galois Theory",
  "authors": [
    "Claus Fieker",
    "Nicole Sutherland"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We describe algorithms to compute fixed fields, minimal degree splitting fields and towers of radical extensions using Galois group computations. We also describe the computation of geometric Galois groups and their use in computing absolute factorizations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-03T05:00:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R32",
      "11Y40",
      "12F10",
      "12F12"
    ],
    "keywords": [
      "galois theory",
      "constructions",
      "minimal degree splitting fields",
      "galois group computations",
      "geometric galois groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}