{
  "id": "1801.02835",
  "version": "v1",
  "published": "2018-01-09T08:40:50.000Z",
  "updated": "2018-01-09T08:40:50.000Z",
  "title": "Topological rigidity of linear cellular automaton shifts",
  "authors": [
    "Robert Fokkink",
    "Reem Yassawi"
  ],
  "comment": "10 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that topologically isomorphic linear cellular automaton shifts are algebraically isomorphic. Using this, we show that two distinct such shifts cannot be isomorphic. We conclude that the automorphism group of a linear cellular automaton shift is a finitely generated abelian group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-09T08:40:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B05",
      "37B15"
    ],
    "keywords": [
      "topological rigidity",
      "isomorphic linear cellular automaton shifts",
      "topologically isomorphic linear cellular automaton",
      "automorphism group",
      "finitely generated abelian group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}