Finite groups of automorphisms of K3 surfaces and the Mathieu group (Q917639)
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scientific article; zbMATH DE number 4156651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups of automorphisms of K3 surfaces and the Mathieu group |
scientific article; zbMATH DE number 4156651 |
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Finite groups of automorphisms of K3 surfaces and the Mathieu group (English)
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1988
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The article under review classifies the finite groups which have symplectic actions on a K3 surface S, i.e. which fixes a nowhere zero holomorphic 2-form w on S. It is shown that these finite groups coincide with the finite groups which have certain types of embeddings into the Mathieu group \(M_{24}\). This completes the work of Nikulin, who classified the symplectic actions of finite abelian groups.
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symplectic actions on a K3 surface
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Mathieu group
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