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arXiv · 2208.07793

Finite groups with some bounded codegrees

Dongfang Yang·Yu Zeng·Heng Lv
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Abstract

For a character $\chi$ of a finite group $G$, the number cod$(\chi):=|G:\mathrm{ker}(\chi)|/\chi(1)$ is called the codegree of $\chi$.In this paper, we give a solvability criterion for a finite group $G$ depending on the minimum of the ratio $\chi(1)^2 /\mathrm{cod}(\chi )$, when $\chi $ varies among the irreducible characters of $G$.

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Dongfang Yang, Yu Zeng, Heng Lv. 2022-08-16. Finite groups with some bounded codegrees. https://arxiv.org/abs/2208.07793

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