Recognizing powers in nilpotent groups and nilpotent images of free groups

被引：3

作者：

Baumslag, Gilbert ^{[1
]}

机构：

[1] CUNY City Coll, Dept Math & Comp Sci, New York, NY 10031 USA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 83卷

关键词：

D O I：

10.1017/S1446788700036843

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if an element in a finitely generated torsion-free nilpotent group is a proper power.

引用

页码：149 / 155

页数：7