一类特殊的p-模Frobenius群  

A Special Class of p-Module Frobenius Groups

作　　者：李亚利[1] 何满意 钟佐琴 

机构地区：[1]云南民族大学数学与计算机科学学院,云南 昆明

出　　处：《应用数学进展》2023年第7期3139-3143,共5页Advances in Applied Mathematics

摘　　要：有限群论中著名的Frobenius定理揭示了Frobenius群的内部结构,Frobenius群在有限群及群表示论的研究领域中都起着非常重要的作用。设p为某素数,1996年,Kuisch和Waall类比一般的Frobenius群结构,给出了p-模Frobenius群的定义。本文概述了p-模Frobenius群的常用性质,刻画了一类特殊的p-模Frobenius群的结构。The famous Frobenius theorem gave the internal structures of Frobenius groups. Frobenius groups have played a very important role in the research field of finite group and group representation theory. Let p be a prime number, in 1996, Kuisch and Waall gave the definition of p-module Fro-benius groups by analogy with Frobenius groups. In this note, several well-known properties and theorems of p-module Frobenius groups are introduced. A special class of p-module Frobenius groups are characterized.

关 键 词：FROBENIUS群 p-模Frobenius群 BRAUER特征标 

分 类 号：O15[理学—数学]