On commutators of foliation preserving homeomorphisms
The authors compute the first homologies of the group of foliation preserving homeomorphisms for codimension one foliations. They show that the group for the Reeb foliation on the 3-sphere is perfect and the groups for irrational linear foliations on the torus are not perfect.
group of foliation preserving homeomorphisms
scientific article; zbMATH DE number 1336916