A geometric classification of some solvable groups of homeomorphisms
A geometric classification of some solvable groups of homeomorphisms
We investigate subgroups of the group PLo(I) of piecewise-linear, orientation-preserving homeomorphisms of the unit interval with finitely many breaks in slope, under the operation of composition, and also subgroups of generalized Thompson groups Fn. We find geometric criteria determining the derived length of any such group, and use these criteria …