算术p-群的自同构群

Automorphism Groups of Arthmetic p-groups

对任意奇素数p,引入了一类所谓的算术p-群,并确定了其自同构群和外自同构群,所得结果推广具有一个循环极大子群的p-群的相应结论。

For any odd prime number p, the so-called arithmetic p-groups are introduced in this paper. And their automorphism group sand outer automorphism groups are determined. The present work extends the corresponding results of finite p-groups with a cyclic maximal subgroup.