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.
Oct 16, 2020
Nov 23, 2015
|Gęste podgrupy w grupie tasowań przedziału||Oct 16, 2020|
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