{
  "id": "2304.02551",
  "version": "v1",
  "published": "2023-04-05T16:12:46.000Z",
  "updated": "2023-04-05T16:12:46.000Z",
  "title": "Galois module structure of cyclic extensions of local Fields of characteristic zero",
  "authors": [
    "Sébastien Bosca"
  ],
  "comment": "39 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We describe the exact G-module F* for any cyclic extension F/K of locals fields of characteristic zero, where G is the Galois group of F/K. We also describe a parametrized space Wa,b,m,n which is most often a direct factor in F*.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-05T16:12:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R37"
    ],
    "keywords": [
      "galois module structure",
      "characteristic zero",
      "local fields",
      "cyclic extension f/k",
      "galois group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}