{
  "id": "math/0602205",
  "version": "v3",
  "published": "2006-02-10T05:25:44.000Z",
  "updated": "2007-05-03T17:37:51.000Z",
  "title": "The Full Automorphism Group of a Cyclic $p$-gonal Surface",
  "authors": [
    "Aaron Wootton"
  ],
  "comment": "18 pages, 5 figures",
  "journal": "Journal of Algebra, Volume 312, Issue 1, 1 June 2007, Pages 377-396",
  "doi": "10.1016/j.jalgebra.2007.01.018",
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "If $p$ is prime, a compact Riemann surface $X$ of genus $g\\geq 2$ is called cyclic $p$-gonal if it admits a cyclic group of automorphisms $C_{p}$ of order $p$ such that the quotient space $X/C_{p}$ has genus 0. If in addition $C_{p}$ is not normal in the full automorphism $G$, then we call $G$ a non-normal cyclic $p$-gonal group. In the following we classify all non-normal $p$-gonal groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-05-03T17:37:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50"
    ],
    "keywords": [
      "full automorphism group",
      "gonal surface",
      "gonal group",
      "compact riemann surface",
      "cyclic group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2205W"
    }
  }
}