Dense subgroups in the group of interval exchange transformations

• Дата: 2018
• Автори: Bier, Agnieszka, Sushchanskyy, Vitaliy
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Interval exchange transformations; rational subgroups; dense subgroups; supernatural numbers; 37B05; 28D05; 37A05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1033
• Назва журналу: Algebra and Discrete Mathematics

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...