{
  "id": "1609.02380",
  "version": "v1",
  "published": "2016-09-08T11:37:20.000Z",
  "updated": "2016-09-08T11:37:20.000Z",
  "title": "Automorphisms of K-groups II",
  "authors": [
    "Paul Flavell"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "This work is a continuation of Automorphisms of $K$-groups I, P. Flavell, preprint. The main object of study is a finite $K$-group $G$ that admits an elementary abelian group $A$ acting coprimely. For certain group theoretic properties $\\mathcal P$, we study the $AC_{G}(A)$-invariant $\\mathcal P$-subgroups of $G$. A number of results of McBride, 'Near solvable signalizer functors on finite groups' J. Algebra {\\bf 78}(1) (1982) 181-214 and 'Nonsolvable signalizer functors on finite groups', J. Algebra {\\bf 78}(1) (1982) 215-238 are extended. One purpose of this work is to build a general theory of automorphisms, one of whose applications will be a new proof of the Nonsolvable Signalizer Functor Theorem. As an illustration, this work concludes with a new proof of a special case of that theorem due to Gorenstein and Lyons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-08T11:37:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D45"
    ],
    "keywords": [
      "automorphisms",
      "finite groups",
      "elementary abelian group",
      "nonsolvable signalizer functor theorem",
      "group theoretic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}