{
  "id": "1907.03450",
  "version": "v1",
  "published": "2019-07-08T08:24:25.000Z",
  "updated": "2019-07-08T08:24:25.000Z",
  "title": "Elements generating a proper normal subgroup of the Cremona group",
  "authors": [
    "Serge Cantat",
    "Vincent Guirardel",
    "Anne Lonjou"
  ],
  "comment": "26 pages",
  "categories": [
    "math.GR",
    "math.AG"
  ],
  "abstract": "Consider an algebraically closed field k and the Cremona group of all birational transformations of the projective plane over k. We characterize infinite order elements of this group having a non-zero power generating a proper normal subgroup of the Cremona group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-08T08:24:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E07",
      "20F65",
      "20F06"
    ],
    "keywords": [
      "proper normal subgroup",
      "cremona group",
      "elements generating",
      "characterize infinite order elements",
      "birational transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}