{
  "id": "1709.05025",
  "version": "v1",
  "published": "2017-09-15T01:08:21.000Z",
  "updated": "2017-09-15T01:08:21.000Z",
  "title": "Automorphism group of plane curve computed by Galois points, II",
  "authors": [
    "Takeshi Harui",
    "Kei Miura",
    "Akira Ohbuchi"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Recently, the first author classified finite groups obtained as automorphism groups of smooth plane curves of degree $d \\ge 4$ into five types. He gave an upper bound of the order of the automorphism group for each types. For one of them, the type (a-ii), that is given by $\\max \\left\\{ 2 d (d - 2), 60 d \\right\\}$. In this article, we shall construct typical examples of smooth plane curve $C$ by applying the method of Galois points, whose automorphism group has order $60 d$. In fact, we determine the structure of the automorphism group of those curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-15T01:08:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H37",
      "14H50"
    ],
    "keywords": [
      "automorphism group",
      "galois points",
      "smooth plane curve",
      "first author classified finite groups",
      "construct typical examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}