{
  "id": "2309.14342",
  "version": "v1",
  "published": "2023-09-22T10:07:19.000Z",
  "updated": "2023-09-22T10:07:19.000Z",
  "title": "Groups of the nilpotency class $3$ of order $p^4$ as additive groups of local nearrings",
  "authors": [
    "Iryna Raievska",
    "Maryna Raievska"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2303.17567",
  "categories": [
    "math.GR",
    "math.RA"
  ],
  "abstract": "We consider groups of the nilpotency class $3$ of order $p^4$ which are the additive groups of local nearrings. It was shown that, for $p>3$, there exist a local nearring on one of such 4 groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-22T10:07:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16Y30",
      "20D15"
    ],
    "keywords": [
      "nilpotency class",
      "local nearring"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}