厦门大学学报（自然科学版）2009，Vol.48Issue(4)：461-463,3.
π-Hall 子群的线性特征标的诱导
Induced Characters from Linear Characters of a π-Hall Subgroup
摘要
Abstract
The concept of induced character plays an important role in investigating the irreducible characters of G by the irreducible characters of its subgroups.If P is a Sylow p-subgroup of G and N=NG(P),then equal numbers of the irreducible characters of G and of N have degrees not divisible by p.This is the Mckay conjecture.If θ is an irreducible character of N which is p′-degree,then θP is a linear character.The induced characters of linear characters of Sylow p-subgroup were investigated by Navarro.This paper investigated the induced characters from linear characters of nilpotent π-Hall subgroups.The main results generalizes the theorem which was proved by Navarro.It was a further research about Mckay conjecture of π-forms.关键词
π-Hall/子群/线性特征标/诱导特征标/共轭Key words
π-Hall subgroup/linear character/induced character/conjugate分类
数理科学引用本文复制引用
范娟娟,杜妮..π-Hall 子群的线性特征标的诱导[J].厦门大学学报（自然科学版）,2009,48(4):461-463,3.基金项目
福建省自然科学基金(S0650036)资助 （S0650036）
