{
  "id": "1605.02758",
  "version": "v1",
  "published": "2016-05-09T20:18:20.000Z",
  "updated": "2016-05-09T20:18:20.000Z",
  "title": "Stallings folds for CAT(0) cube complexes and quasiconvex subgroups",
  "authors": [
    "Benjamin Beeker",
    "Nir Lazarovich"
  ],
  "comment": "18 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We describe a higher dimensional analogue of the Stallings folding sequence for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups which act properly co-compactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-09T20:18:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67",
      "20E08"
    ],
    "keywords": [
      "cube complexes",
      "quasiconvex subgroups",
      "stallings folds",
      "higher dimensional analogue",
      "stallings folding sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}