Jordan property for Cremona group over a finite field

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 $8$.

minor corrections, 14 pages

References in corpus (2)

• Severi-Brauer varieties; a geometric treatment
• Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic