Abstract
The group property FW stands in-between the celebrated Kazhdan’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.
It follows from the work of Y. Cornulier that a finitely generated wreath product G ≀_X H has property FW if and only if both G and H have property FW and X is finite. The aim of this paper is to give an elementary, direct and explicit proof of this fact using Schreier graphs.
It follows from the work of Y. Cornulier that a finitely generated wreath product G ≀_X H has property FW if and only if both G and H have property FW and X is finite. The aim of this paper is to give an elementary, direct and explicit proof of this fact using Schreier graphs.
Original language | English |
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Pages (from-to) | 1261-1270 |
Number of pages | 10 |
Journal | Expositiones Mathematicae |
Volume | 40 |
Issue number | 4 |
DOIs | |
Publication status | Published - Dec 2022 |
Keywords
- Wreath products
- Property FW
- Schreier graphs
- Ends