ON THE SIMPLICITY OF HOMEOMORPHISM GROUPS OF A TILABLE LAMINATION

José Aliste-Prieto (1) , Samuel Petite (2)

1 UNAB - Universidad Andrés Bello [Santiago]
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

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.

Mots clés: tilable lamination; Leaf preserving homeomorphisms; tilable lamination.

Domaines: Systèmes dynamiques [math.DS]

José Aliste-Prieto, Samuel Petite. ON THE SIMPLICITY OF HOMEOMORPHISM GROUPS OF A TILABLE LAMINATION. Monatshefte für Mathematik, 2016, 181, pp.285-300. ⟨10.1007/s00605-016-0921-1⟩. ⟨hal-01053917⟩