某些子群的正则结构的研究及其诱导特征标的计算

摘要

研究了有限生成线性群的极大抛物子群和Borel子群的正则结构.通过上述子群来计算一般有限线性群GL(n,q)的诱导特征标;并用计算机编程系统GAP来检验和推广我们的结果.%The normal structure of the maximal parabolic subgrabolic subgroups and Borel subgroups of the finite general linear groups were investigated, and the induced characters of the finite general linear group GL(n,q)from those subgroups were computed,A computer program system GAP was used to check the results and generalize them.