• Title of article

    Characters of the Borel and Sylow subgroups of classical groups

  • Author/Authors

    Bal?zs Szegedy، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    7
  • From page
    130
  • To page
    136
  • Abstract
    Let G be a classical group over the field with q=pd elements. We prove that if p is an odd prime then the irreducible characters of the Sylow p-subgroup of G have degrees that are powers of q. Moreover, we prove that if p is odd and G is not the unitary group then the Borel subgroup of G is an M-group and its character degrees as well as the sizes of the conjugacy classes can be written in the form qr(q−1)s2k.
  • Journal title
    Journal of Algebra
  • Serial Year
    2003
  • Journal title
    Journal of Algebra
  • Record number

    696328