摘要
For a characterχof a finite group G,the number cod(χ) := ∣G:ker(χ)∣/χ(1)is called the codegree ofχ.In this paper,we give a solvability criterion for a finite group G depending on the minimum of the ratioχ(1)^(2)/cod(χ),whenχvaries among the irreducible characters of G.
基金
Supported by the National Natural Science Foundation of China(Grant Nos.11971391,12071376,12301018,12171058,12326356)
the Natural Science Foundation of Jiangsu Province(Grant No.BK20231356)
the Natural Science Foundation for the Universities in Jiangsu Province(Grant No.23KJB110002)
The first and second authors are supported by the Chinese Scholarship Council。
