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arXiv · 2208.07785

Nonsolvable groups with three nonlinear irreducible character codegrees

Dongfang Yang·Yu Zeng
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Abstract

For an irreducible character $\chi$ of a finite group $G$, the codegree of $\chi$ is defined as $|G:\ker(\chi)|/\chi(1)$. In this paper, we determine finite nonsolvable groups with exactly three nonlinear irreducible character codegrees, and they are $\mathrm{L}_2(2^f)$ for $f\ge 2$, $\mathrm{PGL}_2(q)$ for odd $q\ge 5$ or $\mathrm{M}_{10}$.

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Dongfang Yang, Yu Zeng. 2022-08-16. Nonsolvable groups with three nonlinear irreducible character codegrees. https://arxiv.org/abs/2208.07785

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