{
  "id": "1507.01875",
  "version": "v1",
  "published": "2015-07-07T17:00:39.000Z",
  "updated": "2015-07-07T17:00:39.000Z",
  "title": "The $(2,p)$-generation of sporadic simple groups",
  "authors": [
    "David A. Craven"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In this short note we prove that, if $p$ is an odd prime dividing the order of a sporadic simple group, then with the exception of four groups for $p=3$, all sporadic simple groups are generated by an involution and an element of order $p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-07T17:00:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sporadic simple group",
      "generation",
      "short note",
      "involution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150701875C"
    }
  }
}