The Structures of Finite Abelian Groups with |A(G)|=2~4p~2q

HU Yu-wang · Journal of Xinyang Normal University · 2009

The structures of Abelian group G was discussed by order of automorphism group A(G)and all types of finite Abelian group G was obtained when the order of A(G) equals to 24p2q(p,q are different odd primes).The following theorem is proved:let G be finite Abelian group,if |A(G)|=24p2q(p,q are different odd primes),then G has at most 150 types.

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