Geodesic
Dense subgroups in the group of interval exchange transformations
Algebra and discrete mathematics, Tome 17 (2014) no. 2, pp. 232-247

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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: rational subgroups, dense subgroups, supernatural numbers.
Mots-clés : Interval exchange transformations 
@article{ADM_2014_17_2_a4,
     author = {Agnieszka Bier and Vitaliy Sushchansky},
     title = {Dense subgroups in the group of interval exchange transformations},
     journal = {Algebra and discrete mathematics},
     pages = {232--247},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2014_17_2_a4/}
}
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Agnieszka Bier; Vitaliy Sushchansky. Dense subgroups in the group of interval exchange transformations. Algebra and discrete mathematics, Tome 17 (2014) no. 2, pp. 232-247. http://geodesic.mathdoc.fr/item/ADM_2014_17_2_a4/