Finite Abelian Groups with an Automurphism Group of Order 2~5p~2
Huang Ben-wen · Journal of Wuhan University · 2008
This paper discusses the structures of finite abelian group G by oder of automorphism group A(G). According to the characters of finite abelian group,we have obtained all types of finite abelian group G with the order of A(G) equals 25p2 (p is an odd and prime number). For p=3,5, 17, G has 38, 19, 3 types respectively, while for p≠3,5,17, G has at most 34 types.