FINITELY GENERATED SUBGROUPS OF ALGEBRAIC ELEMENTS OF PLANE CREMONA GROUPS ARE BOUNDED
Résumé
We prove that any finitely generated subgroup of the plane Cremona group consisting only of algebraic elements is of bounded degree. This follows from a more general result on 'decent' actions on infinite restricted products. We apply our results to describe the degree growth of finitely generated subgroups of the plane Cremona group.
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