|
Algebra and Discrete Mathematics, 2014, Volume 17, Issue 2, Pages 232–247
(Mi adm468)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
RESEARCH ARTICLE
Dense subgroups in the group of interval exchange transformations
Agnieszka Bier, Vitaliy Sushchansky Institute of Mathematics, Silesian University of Technology,
ul. Kaszubska 23, 44-100 Gliwice, Poland
Abstract:
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.
Keywords:
Interval exchange transformations, rational subgroups, dense subgroups, supernatural numbers.
Received: 25.03.2014 Revised: 25.03.2014
Citation:
Agnieszka Bier, Vitaliy Sushchansky, “Dense subgroups in the group of interval exchange transformations”, Algebra Discrete Math., 17:2 (2014), 232–247
Linking options:
https://www.mathnet.ru/eng/adm468 https://www.mathnet.ru/eng/adm/v17/i2/p232
|
Statistics & downloads: |
Abstract page: | 292 | Full-text PDF : | 101 | References: | 46 |
|