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On distinct character degrees

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Abstract

Berkovich, Chillag and Herzog characterized all finite groups G in which all the nonlinear irreducible characters of G have distinct degrees. In this paper we extend this result showing that a similar characterization holds for all finite solvable groups G that contain a normal subgroup N, such that all the irreducible characters of G that do not contain N in their kernel have distinct degrees.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Crete, Knossos Av., GR-71409, Heraklion-Crete, Greece

    Maria Loukaki

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  1. Maria Loukaki
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Loukaki, M. On distinct character degrees. Isr. J. Math. 159, 93–107 (2007). https://doi.org/10.1007/s11856-007-0039-1

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  • DOI: https://doi.org/10.1007/s11856-007-0039-1

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