Mathematics > Algebraic Geometry
arXiv:2605.25788 (math)
[Submitted on 25 May 2026]
Abstract:We prove that the group of birational automorphisms of a geometrically irreducible algebraic surface over a finite field is Jordan. We show that the analogous statement fails in higher dimensions. Finally, we prove that groups of birational permutations over finite fields have bounded finite $p'$-subgroups; in particular, they are $p$-Jordan.
Submission history
From: Alexandr Zaitsev [view email]
[v1]
Mon, 25 May 2026 12:34:35 UTC (12 KB)
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