Tight subgroups in torsion-free abelian groups

被引：0

作者：

Ould-Beddi, MA

Strüngmann, L

机构：

[1] Univ Nouakchott, Fac Sci & Tech, Nouakchott, Mauritania

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2003年 / 135卷 / 1期

关键词：

D O I：

10.1007/BF02776060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a torsion-free abelian group. We study the class of all completely decomposable subgroups of X which are maximal with respect to inclusion. These groups are called tight subgroups of X and we state sufficient conditions on a subgroup to be tight. In particular we consider tight subgroups of bounded completely decomposable groups. For those we show that every regulating subgroup is tight and we characterize the tight subgroups of finite index in almost completely decomposable groups.

引用

页码：251 / 268

页数：18

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