{
  "id": "2103.06930",
  "version": "v1",
  "published": "2021-03-11T20:02:08.000Z",
  "updated": "2021-03-11T20:02:08.000Z",
  "title": "Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group",
  "authors": [
    "Robert Kropholler",
    "Stefano Vidussi",
    "Genevieve Walsh"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We show that a conjecture of Putman-Wieland, which posits the nonexistence of finite orbits for higher Prym representations of the mapping class group, is equivalent to the existence of surface-by-surface and surface-by-free groups which do not virtually algebraically fiber.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-11T20:02:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class group",
      "virtual algebraic fibrations",
      "surface-by-surface groups",
      "higher prym representations",
      "finite orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}