On Topological Full Groups Of Z(D)-Actions

Maksym Chornyi,Kate Juschenko,Volodymyr Nekrashevych

arXiv: Group Theory（2020）

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摘要

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.

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关键词

Topological full groups,non-elementary amenable groups,interval exchange transformations,Penrose tilings

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