AFFINE SUBGROUPS OF THE CLASSICAL GROUPS AND THEIR CHARACTER DEGREES

Abstract

In this paper we describe how the degrees of the irreducible characters of the affine
subgroups of the classical groups under consideration can be found inductively. In [4]
Gow obtained certain character degrees for all of the affine subgroups of the classical
groups. We apply the method of Fischer to the above groups and, in addition to the
character degrees given in [4], we obtain some new character degrees for these
groups.