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The \(R_{\infty}\) property for Houghton's groups

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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Main Authors: Jo, Jang Hyun, Lee, Jong Bum, Lee, Sang Rae
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2017
Subjects:
Houghton's group
\(R_\infty\) property
Reidemeister number
20E45
20E36
55M20
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/466
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spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
collection OJS
language English
topic Houghton's group
\(R_\infty\) property
Reidemeister number
20E45
20E36
55M20
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
topic_facet Houghton's group
\(R_\infty\) property
Reidemeister number
20E45
20E36
55M20
format Article
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
title The \(R_{\infty}\) property for Houghton's groups
title_short 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_sort \(r_{\infty}\) property for houghton's groups
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 \(n\in \mathbb{N}\).
publisher Lugansk National Taras Shevchenko University
publishDate 2017
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/466
work_keys_str_mv AT jojanghyun therinftypropertyforhoughtonsgroups
AT leejongbum therinftypropertyforhoughtonsgroups
AT leesangrae therinftypropertyforhoughtonsgroups
AT jojanghyun rinftypropertyforhoughtonsgroups
AT leejongbum rinftypropertyforhoughtonsgroups
AT leesangrae rinftypropertyforhoughtonsgroups
first_indexed 2024-04-12T06:25:44Z
last_indexed 2024-04-12T06:25:44Z
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