Commutator length and square length of the wreath product of a free group by the infinite cyclic group

被引：0
|
作者：
Akhavan-Malayeri, M [1 ]
机构：
[1] Az Zahra Univ Vanak, Dept Math Sci, Tehran 19834, Iran
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2001年 / 27卷 / 04期
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The object of this note is to show that if G is any group and W = GwrC(infinity) is the wreath product of G by the infinite cyclic group then every element of W' is a product of at most three commutators, and every element of W-2 is a product of at most seven squares in W.
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页码：753 / 756
页数：4
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