Nonsolvable groups whose irreducible character degrees have special 2-parts  

作　　者：Yang LIU 

机构地区：[1]School of Mathematical Science,Tianjin Normal University,Tianjin,300387,China

出　　处：《Frontiers of Mathematics in China》2022年第6期1083-1088,共6页中国高等学校学术文摘·数学（英文）

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).

摘　　要：Let G be a nonsolvable group and Irr(G)the set of irreducible complex characters of G.We 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.

关 键 词：Character degree nonsolvable group 

分 类 号：O15[理学—数学]