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. Ortho
The Strong Independence Theorem for Automorphism Groups and Congruence Lattices of Arbitrary Lattices
✍ Scribed by G. Grätzer; F. Wehrung
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 330 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
✦ Synopsis
97᎐108 proved a much stronger result, the strong independence of the automorphism group and the congruence lattice in the finite case. In this paper, we provide a full affirmative solution of the above problem. In fact, we prove much stronger results, verifying strong independence for general lattices and also for lattices with zero.
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