{
  "id": "2012.08693",
  "version": "v1",
  "published": "2020-12-16T01:48:26.000Z",
  "updated": "2020-12-16T01:48:26.000Z",
  "title": "Commuting involutions and elementary abelian subgroups of simple groups",
  "authors": [
    "Robert M. Guralnick",
    "Geoffrey R. Robinson"
  ],
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "Motivated in part by representation theoretic questions, we prove that if G is a finite quasi-simple group, then there exists an elementary abelian subgroup of G that intersects every conjugacy class of involutions of G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-16T01:48:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D06",
      "20C15"
    ],
    "keywords": [
      "elementary abelian subgroup",
      "simple groups",
      "commuting involutions",
      "finite quasi-simple group",
      "representation theoretic questions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}