{
  "id": "2111.15198",
  "version": "v2",
  "published": "2021-11-30T08:18:25.000Z",
  "updated": "2021-12-07T14:54:01.000Z",
  "title": "Finite groups isospectral to simple groups",
  "authors": [
    "Maria A. Grechkoseeva",
    "Victor D. Mazurov",
    "Wujie Shi",
    "Andrey V. Vasil'ev",
    "Nanying Yang"
  ],
  "doi": "10.1007/s40304-022-00288-5",
  "categories": [
    "math.GR"
  ],
  "abstract": "The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-12-07T14:54:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D05",
      "20D60"
    ],
    "keywords": [
      "finite groups isospectral",
      "finite simple groups",
      "survey results concerning recognition",
      "element orders",
      "recognition problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}