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arXiv · 2411.04478

Finite groups in which every irreducible character has either $p'$-degree or $p'$-codegree

Guohua Qian·Yu Zeng
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Abstract

For an irreducible complex character $\chi$ of a finite group $G$, the codegree of $\chi$ is defined by $|G:\ker(\chi)|/\chi(1)$, where $\ker(\chi)$ is the kernel of $\chi$. Given a prime $p$, we provide a classification of finite groups in which every irreducible complex character has either $p'$-degree or $p'$-codegree.

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Guohua Qian, Yu Zeng. 2024-11-07. Finite groups in which every irreducible character has either $p'$-degree or $p'$-codegree. https://arxiv.org/abs/2411.04478

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