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Let Cr(k) be the Cremona group of rank 2 over a field k, i.e. the group ofall k-automorphisms of k(X,Y). We determine the l.c.m. of the orders of thefinite subgroups of Cr(k) of order prime to the characteristic of k.

A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field