2010•Journal of MathematicsRequires access
STRUCTURE OF FINITE ABELIAN GROUP WITH AUTOMORPHISM GROUP OF ORDER 2~tp~2q(t=1,2,3)
Huang Ben-wen
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Abstract
This article discusses the structure of finite abelian group G with automorphism group A(G) of order 2tp2q(t=1,2,3)(p,q are different prime).According to order of automorphism group of finite abelian group and character of finite abelian group,we obtain the following results:G has 6 types when t=1;G has 32 types when t=2;G has 82 types when t=3.