Some classes of finite abelian groups

被引：0
|
作者：
A. D. Sands
机构：
[1] Dundee University,Department of Mathematics
来源：
Acta Scientiarum Mathematicarum | 2010年 / 76卷 / 3-4期
关键词：
factorization; Abelian group; simulated subset; 20K01; 11B13;
D O I：
10.1007/BF03549833
中图分类号：
学科分类号：
摘要：
Suppose that whenever a finite abelian group G is a direct product of simulated subsets and one other subset then one of these factors must be periodic. In this paper we describe completely the class of all such finite abelian groups G. We then consider the same problem when cyclic subsets are admitted as well as simulated subsets. Once again a complete classification is presented.
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页码：383 / 395
页数：12
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