Galois coverings of Schreier graphs of groups generated by bounded automata

Abstract

We give a characterization of the covering Schreier graphs of groups generated by bounded automata to be Galois. We also investigate the zeta and L functions of Schreier graphs of few groups namely the Grigorchuk group, Gupta-Sidki p group, Gupta-Fabrykowski group and BSV torsion-free group.

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