• Title of article

    Vertices for irreducible characters of a class of blocks

  • Author/Authors

    Charles W. Eaton، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    8
  • From page
    492
  • To page
    499
  • Abstract
    We observe that Navarroʹs definition of a vertex for an irreducible character of a p-solvable group may be extended to irreducible characters in p-blocks with defect groups contained in a normal p-solvable subgroup N, and show that this definition is independent of the choice of N. We show that the fundamental properties of Navarroʹs vertices generalize, and as a corollary show that the vertices of the irreducible Brauer characters in blocks of the above form are radical and are intersections of pairs of Sylow p-subgroups.
  • Journal title
    Journal of Algebra
  • Serial Year
    2005
  • Journal title
    Journal of Algebra
  • Record number

    697115