On the commutator group of the group of interval exchange transformations
Informatics and Automation, Order and chaos in dynamical systems, Tome 297 (2017), pp. 313-325

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We study the group of interval exchange transformations and obtain several characterizations of its commutator group. In particular, it turns out that the commutator group is generated by elements of order $2$.
@article{TRSPY_2017_297_a16,
     author = {Yaroslav Vorobets},
     title = {On the commutator group of the group of interval exchange transformations},
     journal = {Informatics and Automation},
     pages = {313--325},
     publisher = {mathdoc},
     volume = {297},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_297_a16/}
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Yaroslav Vorobets. On the commutator group of the group of interval exchange transformations. Informatics and Automation, Order and chaos in dynamical systems, Tome 297 (2017), pp. 313-325. http://geodesic.mathdoc.fr/item/TRSPY_2017_297_a16/