{
  "id": "2008.00755",
  "version": "v1",
  "published": "2020-08-03T10:16:16.000Z",
  "updated": "2020-08-03T10:16:16.000Z",
  "title": "Expansive dynamics on profinite groups",
  "authors": [
    "Michael Wibmer"
  ],
  "comment": "30 pages",
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "A profinite group equipped with an expansive endomorphism is equivalent to a one-sided group shift. We show that these groups have a very restricted structure. More precisely, we show that any such group can be decomposed into a finite sequence of full one-sided group shifts and two finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-03T10:16:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B05",
      "22C05",
      "20E18",
      "12H10"
    ],
    "keywords": [
      "profinite group",
      "expansive dynamics",
      "full one-sided group shifts",
      "finite sequence",
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}