On torsion-free metabelian groups with commutator quotients of prime exponent

被引：11

作者：

Gupta, N ^{[1
]}

Sidki, S

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[2] Univ Brasilia, Dept Matemat, BR-70919 Brasilia, DF, Brazil

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 1999年 / 9卷 / 05期

关键词：

D O I：

10.1142/S0218196799000308

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a torsion-free metabelian group having for commutator quotient, an elementary abelian p-group of rank k. It is shown that k greater than or equal to 3 for all primes p. Examples of such metabelian torsion-free groups are constructed for all primes p and all ranks k greater than or equal to 3, except for p = 2, k = 3.

引用

页码：493 / 520

页数：28

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