{
  "id": "1409.3756",
  "version": "v1",
  "published": "2014-09-12T14:49:59.000Z",
  "updated": "2014-09-12T14:49:59.000Z",
  "title": "On the Dynamics of Endomorphisms of Finite Groups",
  "authors": [
    "Alexander Bors"
  ],
  "comment": "7 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We develop a general theory of the dynamical mapping behavior of endomorphisms of finite groups. As an application, we will count the isomorphism types of state spaces of finite cyclic groups in general, extending results of Hern\\'andez-Toledo on primary cyclic groups of odd order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-12T14:49:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C38",
      "05C60",
      "05C76",
      "05E15",
      "20D45",
      "20D60",
      "37P99"
    ],
    "keywords": [
      "finite groups",
      "endomorphisms",
      "finite cyclic groups",
      "primary cyclic groups",
      "general theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.3756B"
    }
  }
}