自同构群的阶为2tp2（p为奇素数）的有限Abel群G
Finite Abelian Group with Automorphism Group for Order 2tp2（p is odd prime）
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摘要: 利用有限Abel群G的自同构群的阶和有限Abel群的性质,研究了自同构群A(G)阶为2tp2(t=1,2,3,p为奇素数)的有限Abel群G的构造.获得以下结果:当t=1时,G最多有4型;当t=2时,G最多有12型;当t=3时,G最多有21型.Abstract: 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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