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

Dedicated to Professor Hideki Imanishi on his 60th birthday

抄録

We study the structure of the group of Lipschitz homeomorphisms of \bm{R}ⁿ leaving the origin fixed and the group of equivariant Lipschitz homeomorphisms of \bm{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 C¹-foliations.