{
  "id": "1105.3663",
  "version": "v1",
  "published": "2011-05-18T15:41:40.000Z",
  "updated": "2011-05-18T15:41:40.000Z",
  "title": "Finite groups with $\\Bbb P$-subnormal 2-maximal subgroups",
  "authors": [
    "V. N. Kniahina",
    "V. S. Monakhov"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "A subgroup $H$ of a group $G$ is called $\\Bbb P$-{\\sl subnormal} in $G$ if either $H=G$ or there is a chain of subgroups $H=H_0\\subset H_1\\subset...\\subset H_n=G$ such that $|H_i:H_{i-1}|$ is prime for $1\\le i\\le n$. In this paper we study the groups all of whose 2-maximal subgroups are $\\Bbb P$-subnormal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-18T15:41:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.3663K"
    }
  }
}