On the structure of the group of Lipschitz homeomorphisms and its subgroups, II

Abstract

We study the structure of the group of Lipschitz homeomorphisms of ${\mathbf{R}}^n$ leaving the origin fixed and the group of equivariant Lipschitz homeomorphisms of ${\mathbf{R}}^n$, and show that they are perfect. Next we apply these results for the groups of Lipschitz homeomorphisms of orbifolds and the groups of foliation preserving Lipschitz homeomorphisms for compact Hausdorff $C^1$-foliations.