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math.GR2024
Branch actions and the structure lattice
Jorge Fariña-Asategui, Rostislav Grigorchuk
J. S. Wilson proved in 1971 an isomorphism between the structural lattice associated to a group belonging to his second class of groups with every proper quotient finite and the Bo…
math.GR2006
Asymptotic aspects of Schreier graphs and Hanoi Towers groups
Rostislav Grigorchuk, Zoran Sunik
We present relations between growth, growth of diameters and the rate of vanishing of the spectral gap in Schreier graphs of automaton groups. In particular, we introduce a series…