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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2017 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156016 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862731314419990528 |
|---|---|
| author | Jang Hyun Jo Jong Bum Lee Sang Rae Lee |
| author_facet | Jang Hyun Jo Jong Bum Lee Sang Rae Lee |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T19:25:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156016 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:25:32Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The R∞ property for Houghton's groups Jang Hyun Jo Jong Bum Lee Sang Rae Lee |
| title | 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_short | The R∞ property for Houghton's groups |
| title_sort | r∞ property for houghton's groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156016 |
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