{
  "id": "1408.0968",
  "version": "v1",
  "published": "2014-08-05T13:42:57.000Z",
  "updated": "2014-08-05T13:42:57.000Z",
  "title": "Some measures of finite groups related to permutation bases",
  "authors": [
    "Peter J. Cameron"
  ],
  "comment": "This paper is 10 years old and was never published, but there is perhaps some interest in the contents",
  "categories": [
    "math.GR"
  ],
  "abstract": "I define three \"measures\" of the complicatedness of a finite group in terms of bases in permutation representations of the group, and consider their relationships to other measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-05T13:42:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B05",
      "20B35"
    ],
    "keywords": [
      "finite groups",
      "permutation bases",
      "permutation representations",
      "complicatedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.0968C"
    }
  }
}