# Property FW and wreath products of groups: a simple approach using Schreier graphs

@inproceedings{Leemann2021PropertyFA, title={Property FW and wreath products of groups: a simple approach using Schreier graphs}, author={P. Leemann and G. Schneeberger}, year={2021} }

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 groups, as having all Schreier graphs one-ended. Using this, we show that a finitely generated wreath product G oX H has property FW if and only if both G and H have property FW and X is finite.

#### One Citation

Wreath products of groups acting with bounded orbits

- Mathematics
- 2021

If S is a structure over (a concrete category over) metric spaces, we say that a group G has property BS if any action on a S-space has bounded orbits. Examples of such structures include metric… Expand

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