The minimal 5-representation of Lyons' sporadic group
โ Scribed by Werner Meyer; Wolfram Neutsch; Richard Parker
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 474 KB
- Volume
- 272
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper reports on a new and independent existence proof for the sporadic simple group Ly of Lyons, using only two permutations of degree 9 606 125, computed by Cooperman, Finkelstein, Tselman, and York. We will show that these two permutations generate a group G Ly, by first computing a base and
It is shown that the 2-modular reduction ~0 of the smallest nontrivial, rational, absolutely irreducible character X of Lyons' sporadic simple group Ly is irreducible. Furthermore, an explicit 45,694-dimensional irreducible matrix representation of Ly over the field GF(2) with two elements is given.