{
  "id": "1811.02145",
  "version": "v1",
  "published": "2018-11-06T03:28:33.000Z",
  "updated": "2018-11-06T03:28:33.000Z",
  "title": "Rationality problem for norm one tori, II",
  "authors": [
    "Sumito Hasegawa",
    "Akinari Hoshi",
    "Aiichi Yamasaki"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AG",
    "math.NT",
    "math.RA"
  ],
  "abstract": "We give a stably and retract rational classification of norm one tori of dimension $n-1$ for $n=2^e$ $(e\\geq 1)$ is a power of $2$ and $n=12, 14, 15$. Retract non-rationality of norm one tori for primitive $G\\leq S_{2p}$ where $p$ is a prime number and for the five Mathieu groups $M_n\\leq S_n$ $(n=11,12,22,23,24)$ is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-06T03:28:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E72",
      "12F20",
      "13A50",
      "14E08",
      "20C10",
      "20G15"
    ],
    "keywords": [
      "rationality problem",
      "retract rational classification",
      "retract non-rationality",
      "prime number",
      "mathieu groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}