{
  "id": "1411.3647",
  "version": "v1",
  "published": "2014-11-13T18:20:52.000Z",
  "updated": "2014-11-13T18:20:52.000Z",
  "title": "The infinite cyclohedron and its automorphism group",
  "authors": [
    "Ariadna Fossas Tenas",
    "Jon McCammond"
  ],
  "comment": "18 pages, 8 figures",
  "categories": [
    "math.GR",
    "math.CO",
    "math.GT"
  ],
  "abstract": "Cyclohedra are a well-known infinite familiy of finite-dimensional polytopes that can be constructed from centrally symmetric triangulations of even-sided polygons. In this article we introduce an infinite-dimensional analogue and prove that the group of symmetries of our construction is a semidirect product of a degree 2 central extension of Thompson's infinite finitely presented simple group T with the cyclic group of order 2. These results are inspired by a similar recent analysis by the first author of the automorphism group of an infinite-dimensional associahedron.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-13T18:20:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphism group",
      "infinite cyclohedron",
      "well-known infinite familiy",
      "finite-dimensional polytopes",
      "centrally symmetric triangulations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.3647F"
    }
  }
}