Finite solvable groups with at most two nonlinear irreducible characters of each degree.
In earlier work, \textit{Y. Berkovich} has characterized the finite solvable groups all of whose nonlinear irreducible character degrees have multiplicity 1 [J. Algebra 184, No. 2, 584-603 (1996; Zbl 0861.20008)], and \textit{Y. Berkovich, D. Chillag} and \textit{M. Herzog} have described in detail the finite solvable groups all of whose nonlinear irreducible character degrees have multiplicity 1 except for possibly one which has multiplicity 2 [Proc. Am. Math. Soc. 115, No. 4, 955-959 (1992; Zbl 0822.20004)]. In the paper under review the authors use these results to give a detailed description of the finite solvable groups all of whose nonlinear irreducible character degrees have multiplicity not exceeding 2. The list is too long to be stated here in detail, and the proof is quite technical.
scientific article; zbMATH DE number 5378361