Soluble groups with many 2-generator torsion-by-nilpotent subgroups

被引：0

作者：

Trabelsi, N ^{[1
]}

机构：

[1] Univ Ferhat Abbas, Dept Math, Fac Sci, Setif 19000, Algeria

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2005年 / 67卷 / 1-2期

关键词：

finitely generated soluble groups; finite-by-nilpotent groups; infinite subsets; Chernikov groups; torsion groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove in this paper that a finitely generated soluble group in which every infinite subset contains a pair of distinct elements x, y such that (x,y) is torsion-by-nilpotent (respectively, (x,x(y)) is Chernikov-by-nilpotent), is itself torsion-by-nilpotent (respectively, finite-by-nilpotent).

引用

页码：93 / 102

页数：10

共 50 条

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