Uniform perfectness for Interval Exchange Transformations with or without Flips
Uniform perfectness for Interval Exchange Transformations with or without Flips
Let š¯’¢ be the group of all Interval Exchange Transformations. Results of Arnouxā€“Fathi, Sah and Vorobets state that š¯’¢ 0 the subgroup of š¯’¢ generated by its commutators is simple. Arnoux proved that the group š¯’¢ ĀÆ of all Interval Exchange Transformations with flips is simple.