{
  "id": "1505.06581",
  "version": "v1",
  "published": "2015-05-25T09:45:42.000Z",
  "updated": "2015-05-25T09:45:42.000Z",
  "title": "Simple permutations with order $4n + 2$ by means of Pasting and Reversing",
  "authors": [
    "Primitivo B. Acosta-Humánez",
    "Oscar E. Martínez-Castiblanco"
  ],
  "comment": "29 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "The problem of genealogy of permutations has been solved partially by Stefan (odd order) and Acosta-Hum\\'anez \\& Bernhardt (power of two). It is well known that Sharkovskii's theorem shows the relationship between the cardinal of the set of periodic points of a continuous map, but simple permutations will show the behaviour of those periodic points. Recently Abdulla et al studied the structure of minimal $4n+2$-orbits of the continuous endomorphisms on the real line. This paper studies some combinatorial dynamics structures of permutations of mixed order $4n+2$, describing its genealogy, using Pasting and Reversing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-25T09:45:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E15",
      "05A05",
      "37A99"
    ],
    "keywords": [
      "simple permutations",
      "periodic points",
      "combinatorial dynamics structures",
      "sharkovskiis theorem",
      "real line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150506581A"
    }
  }
}