自同构群的阶为2~4p的有限Abel群G的构造  

Finite Abelian Groups with an Automorphism Group of Order 2~4p

作　　者：黄本文[1] 

机构地区：[1]武汉大学

出　　处：《河北师范大学学报（自然科学版）》1993年第2期8-12,共5页Journal of Hebei Normal University：Natural Science

摘　　要：利用有限Abel群G的自同构群A(G)的阶来讨论群G的构造,给出了|A(G)|=2~4p的有限Abel群G的全部类型.This paper disscusses the types of finite Abelian group G with |A(G)| =2~4p,and obtains following theorem: Theorem If G is finite abelian group with |A(G)|=2~4p(p is odd primes),then (1) G has 16 types when p=3; (2) G has 11 types when p=5; (3) G has 7 types when p=17; (4) G has 15 types when p≠3,5,17 and 2~4p + l ,2~3p+l,2~2p+l,2p+1 are primes.

关 键 词：自同构群 ABEL群 群构造 

分 类 号：N55[自然科学总论] G658.3[文化科学—教育学]