83 citations · 319 across the 28 of their papers we have counts for
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math.GR2013★ 16 cited
Finitely presented groups associated with expanding maps
Volodymyr Nekrashevych
We associate with every locally expanding self-covering of a compact path connected metric space a finitely presented group . We prove that this group is a complete…
math.GR2013★ 40 cited
Extensions of amenable groups by recurrent groupoids
Kate Juschenko, Volodymyr Nekrashevych, Mikael de la Salle
We show that amenability of a group acting by homeomorphisms can be deduced from a certain local property of the action and recurrency of the orbital Schreier graphs. This covers a…
math.GR2013
An uncountable family of 3-generated groups with isomorphic profinite completions
Volodymyr Nekrashevych
We construct an uncountable family of 3-generated residually finite just-infinite groups with isomorphic profinite completions. We also show that word growth rate is not a profinit…