On the simplicity of homeomorphism groups of a tilable lamination

José Aliste-Prieto, Samuel Petite

Published 2014-08-06Version 1

We show that the identity component of the group of homeomorphisms that preserve all leaves of a R^d-tilable lamination is simple. Moreover, in the one dimensional case, we show that this group is uniformly perfect. We obtain a similar result for a dense subgroup of homeomorphisms.