含有较少非线性不可约特征标核的有限幂零群

Finite Nilpotent Groups with Few Nonlinear Irreducible Characters

有限群不可约特征标核的性质对群结构有重要影响。本文分类了非线性不可约特征标核个数至多为3的有限幂零群。The properties of irreducible character kernels heavily influence the structure of finite groups. Finite nilpotent groups having at most three nonlinear irreducible characters are classified.