Abelianization of some groups of interval exchanges
Abelianization of some groups of interval exchanges
Let IET be the group of permutations of [0, 1[ which are continuous outside a finite set, right-continuous and piecewise translations.The abelianization homomorphism of IET was described by Arnoux-Fathi and Sah.It gives an isomorphism between the abelianization of IET and the second exterior power of the reals over the rationals.Let …