A subscription is required to access this article.
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 associatedwith the Penrose tilings. Many groups in this class are amenable.
Cite this article
Maksym Chornyi, Kate Juschenko, Volodymyr V. Nekrashevych, On topological full groups of -actions. Groups Geom. Dyn. 14 (2020), no. 1, pp. 61–79