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The present paper is devoted to the classification of symplectic automorphisms of some hyperkählermanifolds. The result presented here is a proof that all finite groups of symplectic automorphisms of manifolds of \(K3^{[n]}\) typeare contained in Conway’s group \(Co_1\).

Towards a classification of symplectic automorphisms on manifolds of $$K3^{[n]}$$ K 3 [ n ] type