• Title of article

    Local analysis of the normalizer problem

  • Author/Authors

    Martin Hertweck، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    18
  • From page
    259
  • To page
    276
  • Abstract
    For a finite group G, and a commutative ring R, the automorphisms of G inducing an inner automorphism of the group ring RG form a group AutR(G). Let Autint(G)=AutA(G), where A is the ring of all algebraic integers in image. It is shown how Clifford theory can be used to analyze Autint(G). It is proved that Autint(G)/Inn(G) is an abelian group, and can indeed be any finite abelian group. It is an outstanding question whether image if G has an abelian Sylow 2-subgroup. This is shown to be true in some special cases, but also a group G with abelian Sylow subgroups and Autint(G)≠Inn(G) is given.
  • Journal title
    Journal of Pure and Applied Algebra
  • Serial Year
    2001
  • Journal title
    Journal of Pure and Applied Algebra
  • Record number

    816901