Subgroup of interval exchanges generated by torsion elements and rotations
Subgroup of interval exchanges generated by torsion elements and rotations
Denote by G the group of interval exchange transformations (IETs) on the unit interval. Let Gper ⊂ G be the subgroup generated by torsion elements in G (periodic IETs), and let Grot ⊂ G be the subset of 2-IETs (rotations). The elements of the subgroup G1 = hGper,Groti ⊂ G …