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math.GR2026
Free Burnside groups of large odd exponent have cost 1
Miguel Donoso-Echenique, Eduardo Silva
We prove that for every non-elementary torsion-free hyperbolic group and sufficiently large odd , the quotient has cost . In particular, when is the free gr…
math.GR2023
The Poisson boundary of lampshuffler groups
Eduardo Silva
We study random walks on the lampshuffler group , where is a finitely generated group and is the group of finitary permutations of…
math.GR2022★ 2 cited
Dead ends on wreath products and lamplighter groups
Eduardo Silva
For any finite group and any finitely generated group , we prove that the corresponding lamplighter group admits a standard generating set with unbounded depth, and…