{
  "id": "1005.4284",
  "version": "v3",
  "published": "2010-05-24T09:29:14.000Z",
  "updated": "2011-02-24T07:09:08.000Z",
  "title": "Influence of strongly closed 2-subgroups on the structure of finite groups",
  "authors": [
    "Hung P. Tong-Viet"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $H\\leq K$ be subgroups of a group G. We say that H is strongly closed in K with respect to G if whenever $a^g \\in K$ where $a \\in H, g \\in G,$ then $a^g \\in H.$ In this paper, we investigate the structure of a group G under the assumption that every subgroup of order $2^m$ (and 4 if m = 1) of a 2- Sylow subgroup S of G is strongly closed in S with respect to G. Some results related to 2-nilpotence and supersolvability of a group G are obtained. This is a complement to Guo and Wei (J. Group Theory 13 (2010), no. 2, 267-276).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-02-24T07:09:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D20"
    ],
    "keywords": [
      "finite groups",
      "sylow subgroup",
      "group theory",
      "assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4284T"
    }
  }
}