|A(G)|=2~4p~2q的有限交换群G的构造
The Structures of Finite Abelian Groups with |A(G)|=2~4p~2q
-
摘要: 利用有限交换群G的自同构群A(G)的阶来刻划群G的结构,证明了当|A(G)|=24p2q(p,q是不同的奇素数)时,G至多有150型.Abstract: 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.
下载: