特征标公式在有限群的应用  

Application of character formula in finite group

作　　者：余官媛 YU Guanyuan(College of General Education,Guangxi University of Information Engineering,Nanning Guangxi 530000)

机构地区：[1]广西信息职业技术学院通识教育学院,广西南宁530000

出　　处：《辽宁师专学报（自然科学版）》2024年第3期1-4,108,共5页Journal of Liaoning Normal College(Natural Science Edition)

摘　　要：将特征标公式的应用推广到二面体群D_(2n)和群GL_(2)(F_(p)),所得结论如下:当n为奇数时,正规子群〈a〉中只有主特征标可以扩张到群D_(2n);群SL_(2)(F_(p))中只有p-1个不可约特征标扩张到群GL_(2)(F_(p)).This paper extended the application of character formula to dihedral group D2nand GL_(2)(F_(p)).The conclusion is as follows:if n is odd,only the principal character in normal subgroup〈a〉can extend to D_(2n),and there are exactly p-1irreducible characters of SL_(2)(F_(p))that extend to GL_(2)(F_(p)).

关 键 词：二面体群 一般线性群 特征标扩张 

分 类 号：O152.6[理学—数学]