摘要
本文考虑了Yakov berkovich提出的一个研究问题.利用特征标理论的初等技巧,得到每个不可约特征标至多有p个不同值的有限p-群一定是初等交换p-群,这部分回答了Yakov berkovich的研究问题.
In this paper,we consider the research problem provided by Yakov Berkovich.By using the elementary character technique,we obtain that the p-group whose every irreducible character has most p distinct values is elementary abelian,which answered partly Yakov Berkovich’s problem.
出处
《数学杂志》
CSCD
北大核心
2012年第4期617-620,共4页
Journal of Mathematics
基金
Supported by Educational Commission of Hubei Province of China(T201009
Q20112807)
关键词
特征标值
P-群
忠实特征标
初等交换
character value
p-group
faithful character
elementary abelian
