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arXiv · 1211.4271

Growth of periodic quotients of hyperbolic groups

Rémi Coulon
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Abstract

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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Rémi Coulon. 2012-11-18. Growth of periodic quotients of hyperbolic groups. https://doi.org/10.2140/agt.2013.13.3111

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