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The alternating group of degree 6 in the geometry of the Leech lattice and K3 surfaces
Published online by Cambridge University Press: 25 February 2005
Abstract
The alternating group of degree 6 is located at the junction of three series of simple non-commutative groups: simple sporadic groups, alternating groups and simple groups of Lie type. It plays a very special role in the theory of finite groups. We shall study its new roles both in a finite geometry of a certain pentagon in the Leech lattice and also in the complex algebraic geometry of K3 surfaces.
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- Research Article
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- 2005 London Mathematical Society
- 8
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