{
  "id": "2008.04997",
  "version": "v1",
  "published": "2020-08-11T20:39:10.000Z",
  "updated": "2020-08-11T20:39:10.000Z",
  "title": "Automorphism groups of finite posets II",
  "authors": [
    "Jonathan A. Barmak"
  ],
  "comment": "7 pages, 3 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that every finite group $G$ can be realized as the automorphism group of a poset with $4|G|$ points. We also provide bounds for the minimum number of points of a poset with cyclic automorphism group of a given prime power order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-11T20:39:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E18",
      "06A11",
      "20B25"
    ],
    "keywords": [
      "finite posets",
      "prime power order",
      "cyclic automorphism group",
      "finite group",
      "minimum number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}