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The derived length of subgroups of the Cremona group
We prove that the maximal derived length of a solvable subgroup of the plane Cremona group over $\mathbb C$ is equal to $5$. We also show that the maximal derived length of a finite solvable subgroup is $4$, and give a short proof of the known sharp bound $5$ for bounded solvable subgroups. A major
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