摘要
通过对有限秩的无扭阿贝尔群的商群的讨论,得出了对有限秩的无扭阿贝尔群的结构的一种刻划即:设G为有限秩的无扭阿贝尔群,G是非p可除的(p为素数),那么存在着子群G*,使得(1)G*为自由阿贝尔群;(2)G/G*为周期群,且G/G*为p可除群;(3)G/G*的每个准素分支均为有限个循环群与拟循环群的直和.且其中关于素数p的准素分支为有限个拟循环群的直和.
A wsv to discribe the structure of a torsion-free abelian group with finite rank is found by studying its quotient group. Let G be a torsion-free abelian group with finite rank, not P-divisible where is a prime. Then there exists a subgroup G* of G/G. are the direct sum of finitely many cyclic and quasicyclic groups, and the p primary component is the sum of finitely many quasicyclic groups.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
1999年第6期607-611,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金!19871066