On the commutator group of the group of interval exchange transformations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Order and chaos in dynamical systems, Tome 297 (2017), pp. 313-325

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TM_2017_297_a16,
     author = {Yaroslav Vorobets},
     title = {On the commutator group of the group of interval exchange transformations},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {313--325},
     publisher = {mathdoc},
     volume = {297},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2017_297_a16/}
}
TY  - JOUR
AU  - Yaroslav Vorobets
TI  - On the commutator group of the group of interval exchange transformations
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2017
SP  - 313
EP  - 325
VL  - 297
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2017_297_a16/
LA  - ru
ID  - TM_2017_297_a16
ER  - 
%0 Journal Article
%A Yaroslav Vorobets
%T On the commutator group of the group of interval exchange transformations
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2017
%P 313-325
%V 297
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2017_297_a16/
%G ru
%F TM_2017_297_a16
Yaroslav Vorobets. On the commutator group of the group of interval exchange transformations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Order and chaos in dynamical systems, Tome 297 (2017), pp. 313-325. http://geodesic.mathdoc.fr/item/TM_2017_297_a16/