Finite groups with some bounded codegrees

Dongfang Yang; Yu Zeng; Heng Lv

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

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BibTeX RIS

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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