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

dc.contributor.author	Benli, M.G.
dc.contributor.author	Grigorchuk, R.
dc.date.accessioned	2019-06-14T03:22:38Z
dc.date.available	2019-06-14T03:22:38Z
dc.date.issued	2014
dc.identifier.citation	On the condensation property of the Lamplighter groups and groups of intermediate growth / M.G. Benli, R. Grigorchuk // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 222–231. — Бібліогр.: 13 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:20F65, 20E08, 20F69, 20F05.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/153334
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The authors were supported by NSF grant DMS-1207699.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On the condensation property of the Lamplighter groups and groups of intermediate growth	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA