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The Alternating Group of Degree 6 in the Geometry of the Leech Lattice and K3 Surfaces |
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| Authors: | Keum, JongHae Oguiso, Keiji Zhang, De-Qi |
| Affiliation: | School of Mathematics, Korea Institute for Advanced Study Dongdaemun-gu, Seoul 130-722, Korea, South Korea. E-mail: jhkeum{at}kias.re.kr Graduate School of Mathematical Sciences, University of Tokyo Komaba Meguro-ku, Tokyo 153-8914, Japan. E-mail: oguiso{at}ms.u-tokyo.ac.jp Department of Mathematics, National University of Singapore 2 Science Drive 2, Singapore 117543, Singapore. E-mail: matzdq{at}math.nus.edu.sg |
| Abstract: | The alternating group of degree 6 is located at the junctionof three series of simple non-commutative groups: simple sporadicgroups, alternating groups and simple groups of Lie type. Itplays a very special role in the theory of finite groups. Weshall study its new roles both in a finite geometry of a certainpentagon in the Leech lattice and also in the complex algebraicgeometry of K3 surfaces. 2000 Mathematics Subject Classification14J28, 11H06, 20D06, 20D08. |
| Keywords: | alternating group of degree 6 Leech lattice K3 surfaces |
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