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arXiv · 2201.07062

On Distinct Character Degrees

Maria Loukaki
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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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Maria Loukaki. 2022-01-18. On Distinct Character Degrees. https://arxiv.org/abs/2201.07062

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