非零点子群与不可约特征标的零点

设G是一个有限非Abel群,并设χ是G的一个非线性不可约(复)特征标.令V(χ)=｛x|x∈G,χ(x)≠0｝,Nχ=〖JB({〗x|x∈G,χ(x)=0〖JB)}〗.称V(χ)为非零点子群,而称Nχ为零点子群.在本文中，作者建立了关于不可约特征标的零点及非零点子群V(χ)的若干结果，并从关于非零点子群V(χ)的某些结果得到关于零点子群Nχ的一些结果.

The vanishing-off subgroups and zeros of irreducible characters

Let G be a non-abelian finite group, and χ be a nonlinear irreducible character of G.Set V(χ)={x|x∈G,χ(x)≠0} and N_χ={x|x∈G,χ(x)=0}.We call V(χ) as a vanishing-off subgroup and Nχ as a zero-subgroup. In this paper, some results about zeros of nonlinear irreducible characters and vanishing-off subgroups V(χ) are established, and then ,from some results about vanishing-off subgroups N_χ, some coresponding results about zero-subgroups N_χ are obtained.