Jiangmin Pan
Abstract
Up to now,for any given finite abelian group,it havn't been found any paper gave a general formula to calculate the order of the automorphism group of the group.By discussing the bases of the group and make progressive inferences,it is provided a formula of the order of the automorphism group of any finite abelian group.
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Up to now,for any given finite abelian group,it havn't been found any paper gave a general formula to calculate the order of the automorphism group of the group.By discussing the bases of the group and make progressive inferences,it is provided a formula of the order of the automorphism group of any finite abelian group.
Key concepts: p-group, Group (periodic table), Inner automorphism, Mathematics, Abelian group, G-module, Elementary abelian group, Order (exchange)