{
  "id": "1509.03307",
  "version": "v1",
  "published": "2015-09-10T05:02:56.000Z",
  "updated": "2015-09-10T05:02:56.000Z",
  "title": "On extensions of subshifts by finite groups",
  "authors": [
    "Kengo Matsumoto"
  ],
  "comment": "31 pages",
  "categories": [
    "math.DS",
    "math.OA"
  ],
  "abstract": "$\\lambda$-graph systems are labeled Bratteli diagram with shift operations. They present subshifts. Their matrix presentations are called symbolic matrix systems. We define skew products of $\\lambda$-graph systems and study extensions of subshifts by finite groups. We prove that two canonical symbolic matrix systems are $G$-strong shift equivalent if and only if their presented subshifts are $G$-conjugate. $G$-equivalent classes of subshifts are classified by the cohomology classes of their associated skewing functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-10T05:02:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "28D20",
      "37B40",
      "46L80"
    ],
    "keywords": [
      "finite groups",
      "graph systems",
      "define skew products",
      "canonical symbolic matrix systems",
      "strong shift equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150903307M"
    }
  }
}