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The Alternating Groups and K3 Surfaces

D. -Q. Zhang
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Abstract

In this note, we consider all possible extensions G of a non-trivial perfect group H acting faithfully on a K3 surface X. The pair (X, G) is proved to be uniquely determined by G if the transcendental value of G is maximum. In particular, we have G/H < Z/(2) + Z/(2), if H is the alternating group A_5 and normal in G.

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D. -Q. Zhang. 2005-06-30. The Alternating Groups and K3 Surfaces. https://arxiv.org/abs/math/0506610

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