In this paper, it is proved that the finite group G is solvable if \(\mathrm {cod}(\chi )< \chi ^{\alpha }(1)\) for any nonlinear irreducible character \(\chi \) of G where \(\alpha \approx 1.8876\).

中文翻译：

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关于 Codegrees 和可解群

本文证明了有限群G可解若\(\mathrm {cod}(\chi )< \chi ^{\alpha }(1)\)对于任意非线性不可约字符\(\chi \)的ģ其中\（\阿尔法\约1.8876 \） 。