关于正规子群外部特征标零点的一点注记

A note on the zeros of irreducible characters out of a normal subgroup

假设有限非交换群G可以写成一个循环的正规子群与一个素数阶循环子群的半直积,本文给出了这类群G的每个非线性不可约特征标在这个正规子群的外部零点个数都恰好为4个或奇素数个时的结构.

The finite non-commutative group G is assumed as a semi-direct product of a cyclic normal subgroup and a cyclic subgroup of prime order. The structure of such groups G was given,assuming there are just 4 or odd prime zeros of each nonlinear irreducible characters out of the normal subgroup .