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math.GR2022
Proper actions of Grigorchuk groups on a CAT(0) cube complex
Grégoire Schneeberger
On this paper we will present a construction of a CAT(0) cube complex (an infinite cube), on which the uncountable family of Grigorchuk groups act without bounded orbit. More…
math.GR2021
Wreath products of groups acting with bounded orbits
Paul-Henry Leemann, Grégoire Schneeberger
If is a subcategory of metric spaces, we say that a group G has property if any isometric action on an -space has bounded orbits. Examples of…
math.GR2021★ 3 cited
Property FW and wreath products of groups: a simple approach using Schreier graphs
Paul-Henry Leemann, Grégoire Schneeberger
The group property FW stands in-between the celebrated Kazdhan's property (T) and Serre's property FA. Among many characterizations, it might be defined, for finitely generated gro…