{
  "id": "1905.06258",
  "version": "v1",
  "published": "2019-05-15T15:54:19.000Z",
  "updated": "2019-05-15T15:54:19.000Z",
  "title": "The group $J_4 \\times J_4$ is recognizable by spectrum",
  "authors": [
    "I. B. Gorshkov",
    "N. V. Maslova"
  ],
  "comment": "13 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "The spectrum of a finite group is the set of its element orders. In this paper we prove that the direct product of two copies of the finite simple sporadic group $J_4$ is uniquely determined by its spectrum in the class of all finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-15T15:54:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D60",
      "20D08",
      "20D99"
    ],
    "keywords": [
      "finite group",
      "finite simple sporadic group",
      "element orders",
      "direct product",
      "recognizable"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}