An elementary method for the calculation of the set of character degrees of somep-groups

摘要

Letq be a power of a prime numberp. In this work, we present an elementary method to find out the set of irreducible character degrees of the Sylowp-subgroups ofSp(2n,q) whenq is odd. This simplifies the proof of Previtali [4], where this result was first obtained. This method also works for the groups of unitriangular matrices over finite fields.