Dense subgroups in the group of interval exchange transformations
The paper concerns the characterization of the group \(\mathop{IET}\) of interval exchange transformations (iet). We investigate a class of rational subgroups of \(\mathop{IET}\). These are subgroups consisting of iet transformations defined by partitions with rational endpoints. We propose a chara...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1033 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10332018-04-26T02:11:00Z Dense subgroups in the group of interval exchange transformations Bier, Agnieszka Sushchanskyy, Vitaliy Interval exchange transformations, rational subgroups, dense subgroups, supernatural numbers 37B05, 28D05, 37A05 The paper concerns the characterization of the group \(\mathop{IET}\) of interval exchange transformations (iet). We investigate a class of rational subgroups of \(\mathop{IET}\). These are subgroups consisting of iet transformations defined by partitions with rational endpoints. We propose a characterization of rational subgroups in terms of infinite supernatural numbers and prove that every such subgroup is dense in \(\mathop{IET}\). We also discuss the properties of these groups. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1033 Algebra and Discrete Mathematics; Vol 17, No 2 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1033/556 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-04-26T02:11:00Z |
| collection |
OJS |
| language |
English |
| topic |
Interval exchange transformations rational subgroups dense subgroups supernatural numbers 37B05 28D05 37A05 |
| spellingShingle |
Interval exchange transformations rational subgroups dense subgroups supernatural numbers 37B05 28D05 37A05 Bier, Agnieszka Sushchanskyy, Vitaliy Dense subgroups in the group of interval exchange transformations |
| topic_facet |
Interval exchange transformations rational subgroups dense subgroups supernatural numbers 37B05 28D05 37A05 |
| format |
Article |
| author |
Bier, Agnieszka Sushchanskyy, Vitaliy |
| author_facet |
Bier, Agnieszka Sushchanskyy, Vitaliy |
| author_sort |
Bier, Agnieszka |
| title |
Dense subgroups in the group of interval exchange transformations |
| title_short |
Dense subgroups in the group of interval exchange transformations |
| title_full |
Dense subgroups in the group of interval exchange transformations |
| title_fullStr |
Dense subgroups in the group of interval exchange transformations |
| title_full_unstemmed |
Dense subgroups in the group of interval exchange transformations |
| title_sort |
dense subgroups in the group of interval exchange transformations |
| description |
The paper concerns the characterization of the group \(\mathop{IET}\) of interval exchange transformations (iet). We investigate a class of rational subgroups of \(\mathop{IET}\). These are subgroups consisting of iet transformations defined by partitions with rational endpoints. We propose a characterization of rational subgroups in terms of infinite supernatural numbers and prove that every such subgroup is dense in \(\mathop{IET}\). We also discuss the properties of these groups. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1033 |
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AT bieragnieszka densesubgroupsinthegroupofintervalexchangetransformations AT sushchanskyyvitaliy densesubgroupsinthegroupofintervalexchangetransformations |
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2025-07-17T10:36:00Z |
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2025-07-17T10:36:00Z |
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1837890075211333632 |