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2010•Journal of Xinyang Normal UniversityRequires access

Structure of Finite Abelian Groups with Automorphism Group for Order 2~6p~2

YU Hong-yan

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Abstract

The structures of finite Abelian group G are discussed by the order of automorphism group A(G).Based on the properties of finite Ablian group,it is obtained that all types of finite Abelian group G with the order of A(G) equals 26p2,and G has at most 92 types.

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The structures of finite Abelian group G are discussed by the order of automorphism group A(G).Based on the properties of finite Ablian group,it is obtained that all types of finite Abelian group G with the order of A(G) equals 26p2,and G has at most 92 types.

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Available abstract

The structures of finite Abelian group G are discussed by the order of automorphism group A(G).Based on the properties of finite Ablian group,it is obtained that all types of finite Abelian group G with the order of A(G) equals 26p2,and G has at most 92 types.

Key concepts: p-group, Abelian group, Mathematics, Automorphism, Order (exchange), Inner automorphism, Group (periodic table), Non-abelian group

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