{
  "id": "1406.2356",
  "version": "v1",
  "published": "2014-06-09T21:02:20.000Z",
  "updated": "2014-06-09T21:02:20.000Z",
  "title": "Involutions and their progenies",
  "authors": [
    "Tewodros Amdeberhan",
    "Victor H. Moll"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Any permutation has a disjoint cycle decomposition and concept generates an equivalence class on the symmetry group called the cycle-type. The main focus of this work is on permutations of restricted cycle-types, with particular emphasis on the special class of involutions and their partial sums. The paper provides generating functions, determinantal expressions, asymptotic estimates as well as arithmetic and combinatorial properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-09T21:02:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "involutions",
      "disjoint cycle decomposition",
      "combinatorial properties",
      "concept generates",
      "equivalence class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.2356A"
    }
  }
}