Nonsolvable groups whose irreducible character degrees have special 2-parts

作     者：Yang LIU Yang LIU

作者机构：School of Mathematical ScienceTianjin Normal UniversityTianjin300387China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2022年第17卷第6期

页      面：1083-1088页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11871011,11701421) the Science&Technology Development Fund of Tianjin Education Commission for Higher Education(2020KJ010) 

主　　题：Character degree nonsolvable group 

摘      要：Let G be a nonsolvable group and Irr(G)the set of irreducible complex characters of *** consider the nonsolvable groups whose character degrees have special 2-parts and prove that ifχ(1)_(2)=1 or∣G∣_(2)for everyχ∈Irr(G),then there exists a minimal normal subgroup N of G such that N≅PSL(2,2^(n))and G/N is an odd order group.