{
  "id": "2204.06926",
  "version": "v1",
  "published": "2022-04-14T12:40:56.000Z",
  "updated": "2022-04-14T12:40:56.000Z",
  "title": "Primitive permutation groups of degree 3p",
  "authors": [
    "Peter M. Neumann"
  ],
  "comment": "Unpublished paper from 1969. Afterword by Peter J. Cameron explains the context",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "This paper presents an analysis of primitive permutation groups of degree $3p$, where $p$ is a prime number, analogous to H. Wielandt's treatment of groups of degree $2p$. It is also intended as an example of the systematic use of combinatorial methods as surveyed in \\S6 for distilling information about a permutation group from knowledge of the decomposition of its character. The work is organised into three parts. Part I contains the lesser half of the calculation, the determination of the decomposition of the permutation character. Part II contains a survey of the combinatorial methods and, based on these methods, the major part of the calculation. Part III ties up loose ends left earlier in the paper and gives a tabulation of detailed numerical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-14T12:40:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B15"
    ],
    "keywords": [
      "primitive permutation groups",
      "degree 3p",
      "combinatorial methods",
      "loose ends left earlier",
      "lesser half"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}