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We give a short proof that every supersingular K3 surface (except possibly incharacteristic $2$ with Artin invariant $\sigma=10$) has an automorphism ofSalem degree 22. In particular an infinite subgroup of the automorphism groupdoes not lift to characteristic zero. The proof relies on the case $\sigma=1$and the cone conjecture for K3 surfaces.

Automorphisms of Salem degree 22 on supersingular K3 surfaces of higher Artin invariant