Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of \(K3\) surfaces. With an appendix by Shigeru Mukai
type: Item
instance of: scholarly article
title: Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of \(K3\) surfaces. With an appendix by Shigeru Mukai
zbMATH Open document ID: 0958.14025
DOI: 10.1215/S0012-7094-98-09217-1
author: Shigeyuki Kondō
published in: Duke Mathematical Journal
publication date: 2000-03-27T00:00:00Z
review text: \textit{S. Mukai} [Invent. Math. 94, 183-221 (1988; Zbl 0705.14045)] proved that, if \(G\) is a finite group of symplectic automorphisms of a \(K3\) surface, then \(G\) is isomorphic to a subgroup of the Mathieu group \(M_{23}\) which has at least five orbits on a set of twenty-four elements. The author provides a simple proof of the above result.
Mathematics Subject Classification ID: 14J28
Mathematics Subject Classification ID: 14J50
Mathematics Subject Classification ID: 11H06
zbMATH DE Number: 1425102
zbMATH Keywords: \(K3\) surfaces
zbMATH Keywords: symplectic automorphisms
zbMATH Keywords: Mathieu groups
MaRDI profile type: Publication
cites work: Finite groups of automorphisms of K3 surfaces and the Mathieu group
cites work: Q3871014
cites work: Q4195021
cites work: Q4152652
cites work: Galois covers between \(K3\) surfaces
full work available at URL: s0012-7094-98-09217-1
OpenAlex ID: W1489086276
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description: scientific article; zbMATH DE number 1425102