Dense subgroups in the group of interval exchange transformations
The paper concerns the characterization of the group IET of interval exchange transformations (iet). We investigate a class of rational subgroups of IET. These are subgroups consisting of iet transformations defined by partitions with rational endpoints. We propose a characterization of rational sub...
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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153335 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dense subgroups in the group of interval exchange transformations / A. Bier, V. Sushchanskyy // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 232–247. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1533352019-06-16T01:25:38Z Dense subgroups in the group of interval exchange transformations Bier, A. Sushchanskyy, V. The paper concerns the characterization of the group IET of interval exchange transformations (iet). We investigate a class of rational subgroups of 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 IET. We also discuss the properties of these groups. 2014 Article Dense subgroups in the group of interval exchange transformations / A. Bier, V. Sushchanskyy // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 232–247. — Бібліогр.: 28 назв. — англ. 1726-3255 2010 MSC:37B05, 28D05, 37A05. http://dspace.nbuv.gov.ua/handle/123456789/153335 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The paper concerns the characterization of the group IET of interval exchange transformations (iet). We investigate a class of rational subgroups of 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 IET. We also discuss the properties of these groups. |
| format |
Article |
| author |
Bier, A. Sushchanskyy, V. |
| spellingShingle |
Bier, A. Sushchanskyy, V. Dense subgroups in the group of interval exchange transformations Algebra and Discrete Mathematics |
| author_facet |
Bier, A. Sushchanskyy, V. |
| author_sort |
Bier, A. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153335 |
| citation_txt |
Dense subgroups in the group of interval exchange transformations / A. Bier, V. Sushchanskyy // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 232–247. — Бібліогр.: 28 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT biera densesubgroupsinthegroupofintervalexchangetransformations AT sushchanskyyv densesubgroupsinthegroupofintervalexchangetransformations |
| first_indexed |
2023-05-20T17:38:29Z |
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2023-05-20T17:38:29Z |
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1796153749278818304 |