Finite Groups with Some Bounded Codegrees

期刊论文
发表日期：

2024年5月9日

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Dong Fang Yang,
Yu Zeng,
Heng Lv

摘要

For a character χ of a finite group G, the number cod(χ)≔ ∣G: 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/cod(χ), when χ varies among the irreducible characters of G.