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...
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1033 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Summary: | 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. |
|---|