{
  "id": "1602.07617",
  "version": "v1",
  "published": "2016-02-24T17:47:42.000Z",
  "updated": "2016-02-24T17:47:42.000Z",
  "title": "Permutation groups and derangements of odd prime order",
  "authors": [
    "Timothy C. Burness",
    "Michael Giudici"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "Let $G$ be a transitive permutation group of degree $n$. We say that $G$ is $2'$-elusive if $n$ is divisible by an odd prime, but $G$ does not contain a derangement of odd prime order. In this paper we study the structure of quasiprimitive and biquasiprimitive $2'$-elusive permutation groups, extending earlier work of Giudici and Xu on elusive groups. As an application, we use our results to investigate automorphisms of finite arc-transitive graphs of prime valency.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-24T17:47:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "odd prime order",
      "derangement",
      "transitive permutation group",
      "elusive permutation groups",
      "extending earlier work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}