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

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...

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Bibliographic Details
Main Authors: Benli, M.G., Grigorchuk, R.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2014
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153334
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