# Weak amenability of free products of hyperbolic and amenable groups

@article{Vergara2022WeakAO, title={Weak amenability of free products of hyperbolic and amenable groups}, author={Ignacio Vergara}, journal={Glasgow Mathematical Journal}, year={2022} }

<jats:p>We show that if <jats:italic>G</jats:italic> is an amenable group and <jats:italic>H</jats:italic> is a hyperbolic group, then the free product <jats:inline-formula>
<jats:alternatives>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0017089521000458_inline1.png" />
<jats:tex-math>
$G\ast H$
</jats:tex-math>
</jats:alternatives>
</jats:inline-formula> is weakly amenable. A key ingredient in the proof is the fact…

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