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 \(L=\mathbb{Z}_2 \wr  \mathbb{Z}\)  is a condensation group and has a minimal presentation by generators and relators. The condensat...

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Bibliographic Details
Date:2018
Main Authors: Benli, Mustafa Gökhan, Grigorchuk, Rostislav
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1032
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics