Dense subgroups in the group of interval exchange transformations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dense subgroups in the group of interval exchange transformations
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| Creator |
Bier, A.
Sushchanskyy, V. |
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| 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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| Date |
2019-06-14T03:22:54Z
2019-06-14T03:22:54Z 2014 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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