Automorphism Groups of Arthmetic p-groups
Ping Jin
Abstract
Ping Jin
Abstract
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.
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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.
Key concepts: Automorphism, Mathematics, Inner automorphism, p-group, Outer automorphism group, Automorphism group, Prime (order theory), Combinatorics