Corpus ID: 231573313

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

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