Abstract
In this paper, it is proved that the finite group G is solvable if cod\((\chi ) \le p_{\chi }\cdot \chi (1)\) for any nonlinear irreducible character \(\chi \) of G, where \(p_{\chi }\) is the largest prime divisor of \(|G:\mathrm{ker} \chi |\).
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This research was supported by the National Natural Science Foundation of China (No. 11971391) and the Fundamental Research Funds for the Central Universities (XDJK2019C107).
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Yang, D., Gao, C. & Lv, H. Finite groups with special codegrees. Arch. Math. 115, 121–130 (2020). https://doi.org/10.1007/s00013-020-01455-2
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DOI: https://doi.org/10.1007/s00013-020-01455-2