{
  "id": "1012.2076",
  "version": "v2",
  "published": "2010-12-09T18:48:28.000Z",
  "updated": "2011-10-26T01:26:48.000Z",
  "title": "Simple permutations with order $4n + 2$. Part I",
  "authors": [
    "Primitivo B. Acosta-Humánez",
    "Eduardo Martínez Castiblanco"
  ],
  "comment": "17 pages",
  "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 behavior of those periodic points. This paper studies the structure of permutations of mixed order $4n+2$, its properties and a way to describe its genealogy by using Pasting and Reversing.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-26T01:26:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E15",
      "05A05",
      "37A99"
    ],
    "keywords": [
      "simple permutations",
      "periodic points",
      "paper studies",
      "odd order",
      "sharkovskiis theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2076A"
    }
  }
}