含有2个非线性非忠实不可约特征标的有限群的若干性质

Some properties of finite groups with only two nonlinear non-faithful irreducible characters

对有限群的单基点特征标核的性质进行了探讨,考察了只含有1个或者2个非线性非忠实不可约特征标的有限群的正规子群的结构以及这类群的导长.

The intersection of the kernels of the monolithic characters of a finite group was discussed. The structures of normal subgroups of finite groups with only one or two nonlinear non-faithful irreducible characters were studied, and the derived lengths of those groups were given.