2011arXiv (Cornell University)Open access

Notes on the commutator group of the group of interval exchange transformations

Yaroslav Vorobets

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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.

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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.

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Available 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.

Key concepts: Group (periodic table), Commutator, Interval (graph theory), Mathematics, Commutator subgroup, Pure mathematics, Algebra over a field, Combinatorics

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