{
  "id": "2410.16885",
  "version": "v1",
  "published": "2024-10-22T10:42:09.000Z",
  "updated": "2024-10-22T10:42:09.000Z",
  "title": "Explicit inverse Shapiro isomorphism and its application",
  "authors": [
    "Andrei V. Zavarnitsine"
  ],
  "doi": "10.1080/00927872.2024.2410863",
  "categories": [
    "math.GR"
  ],
  "abstract": "We find an explicit form of the inverse isomorphism from Shapiro's lemma in terms of inhomogeneous cocycles and apply it to construct special nonsplit coverings of groups with a unique conjugacy class of involutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-22T10:42:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E22",
      "20J06"
    ],
    "keywords": [
      "explicit inverse shapiro isomorphism",
      "application",
      "construct special nonsplit coverings",
      "unique conjugacy class",
      "shapiros lemma"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Taylor-Francis"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}