The \(R_{\infty}\) property for Houghton's groups
We study twisted conjugacy classes of a family of groups which are called Houghton's groups \(\mathcal{H}_n\) (\(n \in\mathbb{N}\)), the group of translations of \(n\) rays of discrete points at infinity. We prove that the Houghton's groups \(\mathcal{H}_n\) have the \(R_\infty\) property...
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| Date: | 2017 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2017
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/466 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543036265201664 |
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| author | Jo, Jang Hyun Lee, Jong Bum Lee, Sang Rae |
| author_facet | Jo, Jang Hyun Lee, Jong Bum Lee, Sang Rae |
| author_sort | Jo, Jang Hyun |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2017-07-02T21:58:40Z |
| description | We study twisted conjugacy classes of a family of groups which are called Houghton's groups \(\mathcal{H}_n\) (\(n \in\mathbb{N}\)), the group of translations of \(n\) rays of discrete points at infinity. We prove that the Houghton's groups \(\mathcal{H}_n\) have the \(R_\infty\) property for all \(n\in \mathbb{N}\). |
| first_indexed | 2025-12-02T15:40:22Z |
| format | Article |
| id | admjournalluguniveduua-article-466 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:40:22Z |
| publishDate | 2017 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-4662017-07-02T21:58:40Z The \(R_{\infty}\) property for Houghton's groups Jo, Jang Hyun Lee, Jong Bum Lee, Sang Rae Houghton's group, \(R_\infty\) property, Reidemeister number 20E45, 20E36, 55M20 We study twisted conjugacy classes of a family of groups which are called Houghton's groups \(\mathcal{H}_n\) (\(n \in\mathbb{N}\)), the group of translations of \(n\) rays of discrete points at infinity. We prove that the Houghton's groups \(\mathcal{H}_n\) have the \(R_\infty\) property for all \(n\in \mathbb{N}\). Lugansk National Taras Shevchenko University 2017-07-03 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/466 Algebra and Discrete Mathematics; Vol 23, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/466/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/466/201 Copyright (c) 2017 Algebra and Discrete Mathematics |
| spellingShingle | Houghton's group \(R_\infty\) property Reidemeister number 20E45 20E36 55M20 Jo, Jang Hyun Lee, Jong Bum Lee, Sang Rae The \(R_{\infty}\) property for Houghton's groups |
| title | The \(R_{\infty}\) property for Houghton's groups |
| title_full | The \(R_{\infty}\) property for Houghton's groups |
| title_fullStr | The \(R_{\infty}\) property for Houghton's groups |
| title_full_unstemmed | The \(R_{\infty}\) property for Houghton's groups |
| title_short | The \(R_{\infty}\) property for Houghton's groups |
| title_sort | \(r_{\infty}\) property for houghton's groups |
| topic | Houghton's group \(R_\infty\) property Reidemeister number 20E45 20E36 55M20 |
| topic_facet | Houghton's group \(R_\infty\) property Reidemeister number 20E45 20E36 55M20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/466 |
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