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

abstract

• Journal Algebra and Discrete Mathematics. 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 = 2 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 spaceM2 of marked 2-generated groups consisting mostly of groups of intermediate growth.

authors

• Grigorchuk, Rostislav

published proceedings

• Algebra and Discrete Mathematics

author list (cited authors)

• Benli, M. G., & Grigorchuk, R.

complete list of authors

• Benli, MG||Grigorchuk, R

publication date

• January 2014

published in

• Algebra and Discrete Mathematics  Journal

keywords

• Math.gr

start page

• 222

end page

• 231

volume

• 17

issue

• 2