On topological full groups of Z(d)-actions Academic Article

abstract

• 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.

authors

• Nekrashevych, Volodymyr

published proceedings

• GROUPS GEOMETRY AND DYNAMICS

author list (cited authors)

• Chornyi, M., Juschenko, K., & Nekrashevych, V.

citation count

• 0

complete list of authors

• Chornyi, Maksym||Juschenko, Kate||Nekrashevych, Volodymyr

publication date

• February 2020

publisher

• European Mathematical Society - EMS - Publishing House GmbH  Publisher

published in

• Groups, Geometry, and Dynamics  Journal

keywords

• Interval Exchange Transformations
• Non-elementary Amenable Groups
• Penrose Tilings
• Topological Full Groups

Digital Object Identifier (DOI)

• 10.4171/GGD/534

start page

• 61

end page

• 79

volume

• 14

issue

• 1

URL

• http://dx.doi.org/10.4171/ggd/534