Pieces of Eight: Semiselfdual Lattices and a New Foundation for the Theory of Conway and Mathieu Groups

✍ Scribed by Robert L. Griess Jr.

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 335 KB
• Volume: 148
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.1999.1846

✦ Synopsis

Contents. 1. Introduction. 2. Basic notations and definitions. 3. The automorphism group of the Leech lattice. 4. The Mathieu group, with the Golay code ( finally!). 5. Other consequences for the Leech lattice and its automorphism group. Appendixes: Background. A. Elementary lattice theory. B. Orthogonal groups in characteristic 2. C. Extraspecial p-groups.