Finite Groups with Some Bounded Codegrees  

作　　者：Dong Fang YANG Yu ZENG Heng LV 

机构地区：[1]School of Mathematics and Statistics,Southwest University,Chongqing,400715,P.R.China [2]Department of Mathematics,Changshu Institute of Technology,Changshu,215500,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第7期1778-1784,共7页数学学报（英文版）

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。

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.

关 键 词：Finite group codegree DEGREE simple group 

分 类 号：O152.1[理学—数学]