{
  "id": "math/0310053",
  "version": "v1",
  "published": "2003-10-04T21:01:58.000Z",
  "updated": "2003-10-04T21:01:58.000Z",
  "title": "On the Group of Automorphisms of Cyclic Covers of the Riemann Sphere",
  "authors": [
    "Sadok Kallel",
    "Denis Sjerve"
  ],
  "comment": "23 pages, 1 figure",
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "This note uses some recent calculations of Conder and Bujalance (on classifying finite index group extensions of Fuchsian groups with abelian quotient and torsion free kernel) in order to determine the full automorphism groups of some cylic coverings of the line (including curves of Fermat and Lefschetz type). The answer is complete for cyclic covers that branch over three points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-04T21:01:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H37",
      "14H45"
    ],
    "keywords": [
      "cyclic covers",
      "riemann sphere",
      "classifying finite index group extensions",
      "full automorphism groups",
      "torsion free kernel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10053K"
    }
  }
}