{
  "id": "1103.6259",
  "version": "v1",
  "published": "2011-03-31T18:26:13.000Z",
  "updated": "2011-03-31T18:26:13.000Z",
  "title": "Local definitions of formations of finite groups",
  "authors": [
    "L. A. Shemetkov"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "A problem of constructing of local definitions for formations of finite groups is discussed in the article. The author analyzes relations between local definitions of various types. A new proof of existence of an $\\omega$-composition satellite of an $\\omega$-solubly saturated formation is obtained. It is proved that if a non-empty formation of finite groups is $\\mathfrak X$-local by F\\\"{o}rster, then it has an $\\mathfrak X$-composition satellite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-31T18:26:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite groups",
      "local definitions",
      "composition satellite",
      "author analyzes relations",
      "non-empty formation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.6259S"
    }
  }
}