Some equations over torsion-free groups

被引：2

作者：

Kim, SK ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2006年 / 16卷 / 02期

关键词：

equations over groups; torsion-free groups;

D O I：

10.1142/S0218196706003013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that equations x(m1)h(1x)(m2)h(2)(...)x(mk)h(k) over torsion-free groups are solvable when k < 4. In the conclusion, we assert that the Levin question is equivalent to solving certain equations with exponent sum zero over torsion-free groups.

引用

页码：369 / 376

页数：8

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