The R∞ property for Houghton's groups
We study twisted conjugacy classes of a family of groups which are called Houghton's groups Hn (n∈N), the group of translations of n rays of discrete points at infinity. We prove that the Houghton's groups Hn have the R∞ property for all n∈N.
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2017 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156016 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The R∞ property for Houghton's groups / Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 249–262. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-156016 |
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Jang Hyun Jo Jong Bum Lee Sang Rae Lee 2019-06-17T18:51:39Z 2019-06-17T18:51:39Z 2017 The R∞ property for Houghton's groups / Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 249–262. — Бібліогр.: 24 назв. — англ. 1726-3255 2010 MSC:20E45, 20E36, 55M20. https://nasplib.isofts.kiev.ua/handle/123456789/156016 We study twisted conjugacy classes of a family of groups which are called Houghton's groups Hn (n∈N), the group of translations of n rays of discrete points at infinity. We prove that the Houghton's groups Hn have the R∞ property for all n∈N. The second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(No. 2013R1A1A2058693). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The R∞ property for Houghton's groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The R∞ property for Houghton's groups |
| spellingShingle |
The R∞ property for Houghton's groups Jang Hyun Jo Jong Bum Lee Sang Rae Lee |
| title_short |
The R∞ property for Houghton's groups |
| title_full |
The R∞ property for Houghton's groups |
| title_fullStr |
The R∞ property for Houghton's groups |
| title_full_unstemmed |
The R∞ property for Houghton's groups |
| title_sort |
r∞ property for houghton's groups |
| author |
Jang Hyun Jo Jong Bum Lee Sang Rae Lee |
| author_facet |
Jang Hyun Jo Jong Bum Lee Sang Rae Lee |
| publishDate |
2017 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We study twisted conjugacy classes of a family of groups which are called Houghton's groups Hn (n∈N), the group of translations of n rays of discrete points at infinity. We prove that the Houghton's groups Hn have the R∞ property for all n∈N.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156016 |
| citation_txt |
The R∞ property for Houghton's groups / Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 249–262. — Бібліогр.: 24 назв. — англ. |
| work_keys_str_mv |
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| first_indexed |
2025-12-07T19:25:32Z |
| last_indexed |
2025-12-07T19:25:32Z |
| _version_ |
1850878756114137088 |