Abstract
Let 𝒢 be the group of all Interval Exchange Transformations. Results of Arnoux–Fathi, Sah and Vorobets state that 𝒢 0 the subgroup of 𝒢 generated by its commutators is simple. Arnoux proved that the group 𝒢 ¯ of all Interval Exchange Transformations with flips is simple.
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