{
  "id": "2309.06362",
  "version": "v1",
  "published": "2023-09-11T15:11:39.000Z",
  "updated": "2023-09-11T15:11:39.000Z",
  "title": "Quantitative Characterization of Finite Simple Groups",
  "authors": [
    "Wujie Shi"
  ],
  "comment": "33 pages",
  "journal": "This paper is published in Journal of Science China, no.53 (2023), p.931-952. (Internal Version) and written in Chinese",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper, we summarize the work on the characterization of finite simple groups and the study on finite groups with \"the set of element orders\" and \"two orders\" (the set of group orders and the set of element orders). Some related topics, and the applications together with their generalizations are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-11T15:11:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D05",
      "20D60",
      "20D06",
      "20D08"
    ],
    "keywords": [
      "finite simple groups",
      "quantitative characterization",
      "element orders",
      "finite groups",
      "group orders"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}