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arXiv:1602.04255 [math.GR]AbstractReferencesReviewsResources

On topological full groups of Z^d-actions

M. Chornyi, K. Juschenko, V. Nekrashevych

Published 2016-02-12Version 1

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.

Categories: math.GR, math.DS
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