{
  "id": "2304.10198",
  "version": "v1",
  "published": "2023-04-20T10:31:26.000Z",
  "updated": "2023-04-20T10:31:26.000Z",
  "title": "New characterizations of a normal subgroup to be hypercyclically embedded",
  "authors": [
    "Chenchen Cao",
    "Zhenfeng Wu",
    "Chi Zhang"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "A normal subgroup $E$ of a group $G$ is said to be hypercyclically embedded in $G$ if either $E=1$ or $E\\neq 1$ and every chief factor of $G$ below $E$ is cyclic. In this article, we present some new characterizations of a normal subgroup to be hypercyclically embedded. Some recent results in this literature are generalized and unified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-20T10:31:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D10",
      "20D15",
      "20D20",
      "20D35"
    ],
    "keywords": [
      "normal subgroup",
      "characterizations",
      "chief factor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}