{
  "id": "1602.04255",
  "version": "v1",
  "published": "2016-02-12T22:46:38.000Z",
  "updated": "2016-02-12T22:46:38.000Z",
  "title": "On topological full groups of Z^d-actions",
  "authors": [
    "M. Chornyi",
    "K. Juschenko",
    "V. Nekrashevych"
  ],
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We give new examples of simple finitely generated groups arising from actions of free abelian groups on the Cantor sets. As particular examples, we discuss groups of interval exchange transformations, and a group naturally associated with the Penrose tilings. Many groups in this class are amenable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-12T22:46:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological full groups",
      "finitely generated groups arising",
      "interval exchange transformations",
      "free abelian groups",
      "simple finitely generated groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204255C"
    }
  }
}