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Showing 2012 · math.GRShow all
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math.GR2012★ 4 cited
Cantor systems, piecewise translations and simple amenable groups
Kate Juschenko, Nicolas Monod
We provide the first examples of finitely generated simple groups that are amenable (and infinite). This follows from a general existence result on invariant states for piecewise-t…
math.GR2012★ 8 cited
Algorithmically complex residually finite groups
O. Kharlampovich, A. Myasnikov, M. Sapir
We construct the first examples of an algorithmically complex finitely presented residually finite groups and first examples of finitely presented residually finite groups with arb…