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alternating group of degree 6

Proceedings of the London Mathematical Society (1)

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The alternating group of degree 6 in the geometry of the Leech lattice and K3 surfaces
JongHae Keum, Keiji Oguiso, De-Qi Zhang
Journal:

Proceedings of the London Mathematical Society / Volume 90 / Issue 2 / March 2005

Published online by Cambridge University Press:

25 February 2005, pp. 371-394

Print publication:

March 2005
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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.