Dense subgroups in the group of interval exchange transformations

• Published in: Algebra and Discrete Mathematics
• Date: 2014
• Main Authors: Bier, A., Sushchanskyy, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153335
• 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.

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...