On the condensation property of the Lamplighter groups and groups of intermediate growth
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the condensation property of the Lamplighter groups and groups of intermediate growth
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| Creator |
Benli, M.G.
Grigorchuk, R. |
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| Description |
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.
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| Date |
2019-06-14T03:22:38Z
2019-06-14T03:22:38Z 2014 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:20F65, 20E08, 20F69, 20F05. http://dspace.nbuv.gov.ua/handle/123456789/153334 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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