2009Journal of Xuzhou Normal UniversityRequires access

Structure of finite Abelian groups with automorphism group of order 2~4p~2q

Kezheng Zuo

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Abstract

The structures of finite Abelian group G are discussed by using the order of automorphism group A(G).According to the characters of finite Ablian group,it is deduced that the finite Abelian group G with automorphism group of order 24p2q(p,q are different odd primes) has at most 171 types.

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The structures of finite Abelian group G are discussed by using the order of automorphism group A(G).According to the characters of finite Ablian group,it is deduced that the finite Abelian group G with automorphism group of order 24p2q(p,q are different odd primes) has at most 171 types.

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Available abstract

The structures of finite Abelian group G are discussed by using the order of automorphism group A(G).According to the characters of finite Ablian group,it is deduced that the finite Abelian group G with automorphism group of order 24p2q(p,q are different odd primes) has at most 171 types.

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

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