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math.GR2015
Simple groups of dynamical origin
Volodymyr Nekrashevych
We associate with every etale groupoid G two normal subgroups S(G) and A(G) of the topological full group of G, which are analogs of the symmetric and alternating groups. We prove…
math.GR2015
From self-similar groups to self-similar sets and spectra
Rostislav Grigorchuk, Volodymyr Nekrashevych, Zoran Sunic
The survey presents developments in the theory of self-similar groups leading to applications to the study of fractal sets and graphs, and their associated spectra.