Niemeier Lattices and K3 Groups Dedicated to Professor I. Dolgachev on the Occassion of His Sixtieth Birthday

Abstract

In this note, we consider K3 surfaces X with an action by the alternating group A 5. We show that if a cyclic extension A 5 .C n acts on X then n = 1, 2, or 4. We also determine the A 5-invariant sublattice of the K3 lattice and its discriminant form.

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