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arXiv 2005-06-30 0 views

The Alternating Groups and K3 Surfaces

Zhang, D. -Q.

Original · EN

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 A₅ and normal in G.

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