摘要
本文把群论和数论的知识结合起来,通过分析群的定义关系特征和自同构的性质,得出了文[1]中p5阶群的Φ6至Φ7族的所有p-群的自同构群的阶,其中p是奇素数.
In this paper, the knowledge of group theory and elementary number theory were combined together to analyge the character of the defining relations of p-groups (p is an odd prime) and automorphism.The orders of automorphism groups of groups of order p^5 for isoclinism families fromΦ_6 to Φ_7 have been worked aut.
出处
《广西民族学院学报(自然科学版)》
CAS
2004年第4期49-53,共5页
Journal of Guangxi University For Nationalities(Natural Science Edition)
基金
广西民族学院青年科研基金项目资助
关键词
有限群
P-群
自同构
有限域
阶
finite groups
p-group
automorphism
finite field
order