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.
Baza „Dorobek” – nr opisu: 0000095991 ; oai:repolis.bg.polsl.pl:31962
Algebra Discrete Mathematics 2014 vol. 17 nr 2, s. 232-247
Wydział Matematyki Stosowanej. Politechnika Śląska
Oct 16, 2020
Nov 23, 2015
88
https://repolis.bg.polsl.pl/publication/35890
Edition name | Date |
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Gęste podgrupy w grupie tasowań przedziału | Oct 16, 2020 |
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