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
DOI: 10.12677/aam.2024.1310432, PDF,    国家自然科学基金支持
作者: 钟佐琴, 李亚利*：云南民族大学数学与计算机科学学院，云南 昆明
关键词: p-群；幂零群；非线性不可约特征标；特征标核；p-Group； Nilpotent Group； Nonlinear Irreducible Character； Character Kernel
摘要: 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。
Abstract: 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.
文章引用：钟佐琴, 李亚利. 含有较少非线性不可约特征标核的有限幂零群[J]. 应用数学进展, 2024, 13(10): 4512-4518. https://doi.org/10.12677/aam.2024.1310432

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