|A(G)|=2~4p~2q的有限交换群G的构造

基金项目:

河南省自然科学基金项目(0511010200)

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.
- 自同构群 /
- 交换群 /
- 群构造 /
- 欧拉函数
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.
- automorphism group /
- Abelian group /
- structure of group /
- Euler s function

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