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On the condensation property of the lamplighter groups and groups of intermediate growth
Date
2014-06-01
Author
Benli, Mustafa Gökhan
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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 = Z2 ≀ Z 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 M2 of marked 2-generated groups consisting mostly of groups of intermediate growth.
Subject Keywords
Condensation groups
,
Groups of intermediate growth
,
Lamplighter groups
,
Space of marked groups
URI
http://adm.luguniv.edu.ua/
https://hdl.handle.net/11511/83755
Journal
ALGEBRA & DISCRETE MATHEMATICS
Collections
Department of Mathematics, Article
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M. G. Benli, “On the condensation property of the lamplighter groups and groups of intermediate growth,”
ALGEBRA & DISCRETE MATHEMATICS
, pp. 222–231, 2014, Accessed: 00, 2021. [Online]. Available: http://adm.luguniv.edu.ua/.