{
  "id": "1505.06253",
  "version": "v1",
  "published": "2015-05-23T00:18:36.000Z",
  "updated": "2015-05-23T00:18:36.000Z",
  "title": "Polytopes with Preassigned Automorphism Groups",
  "authors": [
    "Egon Schulte",
    "Gordon Ian Williams"
  ],
  "comment": "Discrete & Computational Geometry (to appear)",
  "categories": [
    "math.CO",
    "math.MG"
  ],
  "abstract": "We prove that every finite group is the automorphism group of a finite abstract polytope isomorphic to a face-to-face tessellation of a sphere by topological copies of convex polytopes. We also show that this abstract polytope may be realized as a convex polytope.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-23T00:18:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B15",
      "52B11",
      "51M20"
    ],
    "keywords": [
      "preassigned automorphism groups",
      "convex polytope",
      "finite abstract polytope isomorphic",
      "finite group",
      "face-to-face tessellation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}