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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2017 Volume 297, Pages 313–325 (Mi tm3808)
This article is cited in 5 papers

On the commutator group of the group of interval exchange transformations

Yaroslav Vorobets

Department of Mathematics, Mailstop 3368, Texas A&M University, College Station, TX 77843-3368, USA

Abstract: 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 $2$.

UDC: 517.938.5+512.544

Received: February 14, 2017

DOI: 10.1134/S0371968517020170


 English version: Proceedings of the Steklov Institute of Mathematics, 2017, 297, 285–296

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© Steklov Math. Inst. of RAS, 2025