On topological full groups of Z^d-actions
  We give new examples of simple finitely generated groups arising from actions of free abelian groups on the Cantor sets. As particular examples, we discuss groups of interval exchange transformations, and a group naturally associated with the Penrose tilings. Many groups in this class are amenable. 
M. Chornyi, K. Juschenko, V. Nekrashevych
math.GR math.DS