{
  "id": "1609.00303",
  "version": "v1",
  "published": "2016-09-01T16:26:14.000Z",
  "updated": "2016-09-01T16:26:14.000Z",
  "title": "Group actions on dendrites and curves",
  "authors": [
    "Bruno Duchesne",
    "Nicolas Monod"
  ],
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "We establish obstructions for groups to act by homeomorphisms on dendrites. For instance, lattices in higher rank simple Lie groups will always fix a point or a pair. The same holds for irreducible lattices in products of connected groups. Further results include a Tits alternative and a description of the topological dynamics. We briefly discuss to what extent our results hold for more general topological curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-01T16:26:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "group actions",
      "higher rank simple lie groups",
      "results hold",
      "general topological curves",
      "establish obstructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}