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To Infinity and Beyond
Published 21 Aug 2017 in cs.FL and math.GR | (1708.06173v2)
Abstract: We prove that if a group generated by a bireversible Mealy automaton contains an element of infinite order, its growth blows up and is necessarily exponential. As a direct consequence, no infinite virtually nilpotent group can be generated by a bireversible Mealy automaton.
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