摘要
目的确定p^6阶群Φ_(31)到Φ_(35)家族中所有群的自同构群阶。方法在1980年Rodney James文章中对p^6阶群的分类基础上,运用数论与群论知识并结合矩阵方程的方法。结果与结论给出了p^6阶群Φ_(31)到Φ_(35)家族所有群的自同构群的阶。
Purposes—To determine the orders of automorphism groups of the groups of order p^6 from the thirty-first family to thirty-five family.Methods—Based on the classification of groups of order p^6 in the paper by Rodney James in 1980,number theory,group theory knowledge and the method of matrix equation are adopted to accomplish the aforesaid purpose.Results and Conclusion— The orders of automorphism groups of the groups of order p^6 from the thirty-first family to thirty-five family are given.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2016年第3期15-21,共7页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
宝鸡文理学院重点项目(ZK16050)
关键词
有限群
P-群
亚交换群
自同构群
阶
finite group
p-group
meta-abelian group
automorphism group
order
