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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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153334 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-153334 |
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irk-123456789-1533342019-06-15T01:29:49Z On the condensation property of the Lamplighter groups and groups of intermediate growth Benli, M.G. Grigorchuk, R. 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. 2014 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Benli, M.G. Grigorchuk, R. |
| spellingShingle |
Benli, M.G. Grigorchuk, R. On the condensation property of the Lamplighter groups and groups of intermediate growth Algebra and Discrete Mathematics |
| author_facet |
Benli, M.G. Grigorchuk, R. |
| author_sort |
Benli, M.G. |
| title |
On the condensation property of the Lamplighter groups and groups of intermediate growth |
| title_short |
On the condensation property of the Lamplighter groups and groups of intermediate growth |
| title_full |
On the condensation property of the Lamplighter groups and groups of intermediate growth |
| title_fullStr |
On the condensation property of the Lamplighter groups and groups of intermediate growth |
| title_full_unstemmed |
On the condensation property of the Lamplighter groups and groups of intermediate growth |
| title_sort |
on the condensation property of the lamplighter groups and groups of intermediate growth |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153334 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
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AT benlimg onthecondensationpropertyofthelamplightergroupsandgroupsofintermediategrowth AT grigorchukr onthecondensationpropertyofthelamplightergroupsandgroupsofintermediategrowth |
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2023-05-20T17:38:29Z |
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2023-05-20T17:38:29Z |
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1796153749172912128 |