Title:
Dense subgroups in the group of interval exchange transformations
Creator:
Bier, Agnieszka ; Sushchanskyy, Vitaliy
Abstract:
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.
Keywords:
tasowanie przedziału ; podgrupa wymierna ; podgrupa gęsta ; liczby supernaturalne
Date:
Format:
Resource Identifier:
Baza „Dorobek” – nr opisu: 0000095991
Source:
Algebra Discrete Mathematics 2014 vol. 17 nr 2, s. 232-247
Language:
Relation:
Wydział Matematyki Stosowanej. Politechnika Śląska