Finite groups in which the degrees of the nonlinear irreducible characters are distinct

Berkovich, Yakov; Chillag, David; Herzog, Marcel

doi:10.1090/S0002-9939-1992-1088438-9

Finite groups in which the degrees of the nonlinear irreducible characters are distinct
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by Yakov Berkovich, David Chillag and Marcel Herzog

Proc. Amer. Math. Soc. 115 (1992), 955-959

DOI: https://doi.org/10.1090/S0002-9939-1992-1088438-9

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Abstract:

Finite groups in which all the nonlinear irreducible characters have equal degrees were described by Isaacs, Passman, and others. The purpose of this article is to consider the other extreme, namely, to characterize all finite groups in which all the nonlinear irreducible characters have distinct degrees.

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