【摘要】 设G是一个有限非Abel群,并设x是G的一个非线性不可约(复)特征标.令V(x)={x | x∈G,x(x)≠0},Nx={x | x∈G,x(x)=0}.称V(x)为非零点子群,而称N_x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(x)的若干结果,并从关于非零点子群V(x)的某些结果得到关于零点子群N_x的一些结果.更多还原

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