{
  "id": "2203.07592",
  "version": "v1",
  "published": "2022-03-15T01:41:52.000Z",
  "updated": "2022-03-15T01:41:52.000Z",
  "title": "A classification of finite $p$-groups with a unique $\\mathcal{A}_2$-subgroup",
  "authors": [
    "Jixia Gao",
    "Dandan Zhang",
    "Haipeng Qu"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Finite $p$-groups with a unique $\\mathcal{A}_2$-subgroup are classified up to isomorphism. A problem proposed by Berkovich and Janko is solved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-15T01:41:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15"
    ],
    "keywords": [
      "classification",
      "isomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}