Growth of periodic quotients of hyperbolic groups
classification
🧮 math.GR
keywords
growthhyperbolicperiodicapproachesconvergenceestimateexponentialgroup
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Let G be a non-elementary torsion-free hyperbolic group. We prove that the exponential growth rate of the periodic quotient G/G^n 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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