Y. Berkovich et L. Kazarin, FINITE NONSOLVABLE GROUPS IN WHICH ONLY 2 NONLINEAR IRREDUCIBLE CHARACTERS HAVE EQUAL DEGREES, Journal of algebra, 184(2), 1996, pp. 538-560
Y. Berkovich et al. [Proc. Amer. Math. Soc. 115 (1992), 955-959] class
ified finite groups in which the degrees of the nonlinear irreducible
characters are distinct. Theorem 24.7 from [Y. Berkovich, J. Algebra 1
84 (1996), 584-603] contains the classification of solvable groups in
which only two nonlinear irreducible characters have equal degrees (D-
1-groups). In this paper we obtain the classification of nonsolvable D
-1-groups, completing the classification of D-1-groups. Our proof depe
nds on the classification of finite simple groups. The results of the
important paper [Illinois J. Math. 33, No. 1 (1988), 103-131] on ratio
nal simple groups play a key role as well. (C) 1996 Academic Press, In
c.