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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153335 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862643446610657280 |
|---|---|
| author | Bier, A. Sushchanskyy, V. |
| author_facet | Bier, A. Sushchanskyy, V. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-01T08:13:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153335 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-01T08:13:08Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bier, A. Sushchanskyy, V. 2019-06-14T03:22:54Z 2019-06-14T03:22:54Z 2014 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. https://nasplib.isofts.kiev.ua/handle/123456789/153335 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Dense subgroups in the group of interval exchange transformations Article published earlier |
| spellingShingle | Dense subgroups in the group of interval exchange transformations Bier, A. Sushchanskyy, V. |
| title | 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_short | Dense subgroups in the group of interval exchange transformations |
| title_sort | dense subgroups in the group of interval exchange transformations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153335 |
| work_keys_str_mv | AT biera densesubgroupsinthegroupofintervalexchangetransformations AT sushchanskyyv densesubgroupsinthegroupofintervalexchangetransformations |