{
  "id": "1605.08971",
  "version": "v1",
  "published": "2016-05-29T06:44:41.000Z",
  "updated": "2016-05-29T06:44:41.000Z",
  "title": "Towards the Classification of Finite Simple Groups with exactly Three or Four Supercharacter Theories",
  "authors": [
    "Ali Reza Ashrafi",
    "Fatemeh Koorepazan-Moftakhar"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "A supercharacter theory for a finite group $G$ is a set of superclasses each of which is a union of conjugacy classes together with a set of sums of irreducible characters called supercharacters that together satisfy certain compatibility conditions.The aim of this paper is to give a description of some finite simple groups with exactly three or four supercharacter theories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-29T06:44:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20D15"
    ],
    "keywords": [
      "finite simple groups",
      "supercharacter theory",
      "classification",
      "finite group",
      "conjugacy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}