Finite Abelian Group with Automorphism Group for Order 2~tp~2(p is odd prime)

YU Hong-yan · Journal of Xinyang Normal University · 2011

The structures of finite Abelian group G with automorphism group A(G) for the order 2tp2(t=1,2,3 p is odd prime)are discussed.According to the order of automorphism group of finite abelian group and the character of finite abelian group,the following results are obtained:G has 4 types when t=1;G has 12 types when t=2;G has 21 types when t=3.

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