Growth of periodic quotients of hyperbolic groups

Published 18 Nov 2012 in math.GR | (1211.4271v1)

Abstract: Let G be a non-elementary torsion-free hyperbolic group. We prove that the exponential growth rate of the periodic quotient G/Gⁿ tends to the one of G as n odd approaches infinity. Moreover we provide an estimate at which the convergence is taking place.

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Rémi Coulon

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