不可约实特征标均为线性特征标的有限群
Finite Groups Whose Every Irreducible Real Character Is Linear
DOI: 10.12677/pm.2025.159236, PDF,    国家自然科学基金支持
作者: 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: 有限群；不可约特征标；实特征标；奇阶群；Finite Group； Irreducible Character； Real Character； Odd Group
摘要: 有限群的特征标理论是刻画有限群结构的重要工具之一。如果有限群的特征标取实值，称该特征标为实值特征标。有限群不可约实特征标的性质对群结构的影响是很重要的，本文研究了不可约实特征标均为线性特征标的有限群的性质和结构。
Abstract: The character theory of finite groups is one of the important tools for characterizing the structure of finite groups. If a character of a finite group takes real values, it is called a real-valued character. The properties of irreducible real characters of a finite group heavily influence its structure. This paper investigates the properties and structure of the finite group whose every irreducible real character is linear.
文章引用：李亚利. 不可约实特征标均为线性特征标的有限群[J]. 理论数学, 2025, 15(9): 91-95. https://doi.org/10.12677/pm.2025.159236

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