The alternating group of degree 6 in the geometry of the Leech lattice and K3 surfaces

• Autores: JongHae Keum, Keiji Oguiso, De-Qi Zhang
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 90, Nº 2, 2005, págs. 371-394
• Idioma: inglés
• DOI: 10.1112/s0024611504014984
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• Resumen

  • 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.