两族p^6阶群的自同构群的阶

The Orders of the Automorphism Groups of Two Families of the Groups of Order p^6

根据p6阶群的分类,利用亚交换p-群生成元的定义关系、自同构的性质以及数论中同余的一些运算性质,确定了两族p6阶群Φ25和Φ26的自同构群的阶.

According the classification of the groups of order p6,utilizing the defining relation of the generators of the meta-Abel group,some properties of automorphism and the operations of congruence,the orders of automorphism groups of Φ25 and Φ26,which are two families of groups of order p6,are obtained.