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
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
Journal title :
Journal of Algebra