Some remarks on generalized Schur pairs

被引：1

作者：

Moghaddam, MRR ^{[1
]}

Salemkar, AR ^{[1
]}

机构：

[1] Mashhad Univ, Fac Math Sci, Mashhad, Iran

来源：

ARCHIV DER MATHEMATIK | 1998年 / 71卷 / 01期

关键词：

Pair Property; Commutator Word; Outer Commutator; Outer Commutator Word;

D O I：

10.1007/s000130050228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1940, P. Hall introduced the concept of a Schur pair property, and J. A. Hulse and J. C. Lennox (1976) generalized this notion to an ultra Schur pair. In this paper we introduce the notion of an ultra weak schur pair and show that if X is a class of groups such that X = NPQS(n)X and (gamma(2), X) is a Schur pair, then (phi, X) is an ultra weak Schur pair, for every outer commutator word phi. Finally, we deal with P. Hall's second problem.

引用

页码：12 / 16

页数：5

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