{
  "id": "1410.0420",
  "version": "v1",
  "published": "2014-10-02T00:20:09.000Z",
  "updated": "2014-10-02T00:20:09.000Z",
  "title": "Permutation Groups and Orbits on Power Sets",
  "authors": [
    "Yong Yang"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a permutation group of degree $n$ and let $s(G)$ denote the number of set-orbits of $G$. We determine $\\inf(\\frac {\\log_2 s(G)} n)$ over all groups $G$ that satisfy certain restrictions on composition factors (i.e. $Alt(k), k > 4$ cannot be obtained as a quotient of a subgroup of $G$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-02T00:20:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "permutation group",
      "power sets",
      "composition factors",
      "set-orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.0420Y"
    }
  }
}