{
  "id": "0910.1616",
  "version": "v2",
  "published": "2009-10-08T21:17:09.000Z",
  "updated": "2010-04-17T18:46:16.000Z",
  "title": "Normal subgroup generated by a plane polynomial automorphism",
  "authors": [
    "Jean-Philippe Furter",
    "Stéphane Lamy"
  ],
  "comment": "Some minor corrections",
  "journal": "Transformation Groups 15, no. 3, p. 577-610, 2010",
  "categories": [
    "math.GR",
    "math.AG"
  ],
  "abstract": "We study the normal subgroup <f> generated by a non trivial element f in the group G of complex plane polynomial automorphisms having Jacobian determinant 1. On one hand if f has length at most 8 relatively to the classical amalgamated product structure of G, we prove that <f> = G. On the other hand if f is a sufficiently generic element of even length at least 14, we prove that <f> is a proper subgroup of G.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-17T18:46:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F06",
      "14R10"
    ],
    "keywords": [
      "normal subgroup",
      "complex plane polynomial automorphisms",
      "non trivial element",
      "proper subgroup",
      "classical amalgamated product structure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.1616F"
    }
  }
}