On the condensation property of the Lamplighter groups and groups of intermediate growth

被引：0
|
作者：
Benli, Mustafa Goekhan [1 ]
Grigorchuk, Rostislav [1 ]
机构：
[1] Texas A&M Univ, Maistop 3368, College Stn, TX 77843 USA
来源：
ALGEBRA & DISCRETE MATHEMATICS | 2014年 / 17卷 / 02期
关键词：
Lamplighter groups; groups of intermediate growth; space of marked groups; condensation groups;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this short note is to revisit some old results about groups of intermediate growth and groups of the lamplighter type and to show that the Lamplighter group L = Z(2)zZ is a condensation group and has a minimal presentation by generators and relators. The condensation property is achieved by showing that L belongs to a Cantor subset of the space M-2 of marked 2-generated groups consisting mostly of groups of intermediate growth.
引用
收藏
页码：222 / 231
页数：10
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