{
  "id": "1608.05677",
  "version": "v1",
  "published": "2016-08-19T17:22:58.000Z",
  "updated": "2016-08-19T17:22:58.000Z",
  "title": "Invariant Meromorphic Functions on the Wallpaper Groups",
  "authors": [
    "Richard Chapling"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CA",
    "math.CV",
    "math.GR"
  ],
  "abstract": "We construct the meromorphic functions invariant under the action of the sense-preserving wallpaper groups on the complex plane. We discuss possible generalisa-tions of this to the general wallpaper groups. This provides the answer to a question posed on StackExchange regarding the possible symmetries of elliptic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-19T17:22:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33E05",
      "30D99",
      "58D19",
      "20F65"
    ],
    "keywords": [
      "invariant meromorphic functions",
      "general wallpaper groups",
      "meromorphic functions invariant",
      "complex plane",
      "elliptic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}