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arXiv · 2111.13367

Jordan property for Cremona group over a finite field

Yuri Prokhorov·Constantin Shramov
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Abstract

We show that the Cremona group of rank $2$ over a finite field is Jordan, and provide an upper bound for its Jordan constant which is sharp when the number of elements in the field is different from $2$, $4$, and $8$.

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Yuri Prokhorov, Constantin Shramov. 2021-11-26. Jordan property for Cremona group over a finite field. https://arxiv.org/abs/2111.13367

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