On the Minimal Degrees of Projective Representations of the Finite Chevalley Groups, II
โ Scribed by G.M. Seitz; A.E. Zalesskii
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 443 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We improve a result of Liebeck and Saxl concerning the minimal degree of a primitive permutation group and use it to strengthen a result of Guralnick and Neubauer on generic covers of Riemann surfaces.
1. Introduction 2. Preliminaries 3. The main lemma 4. The main theorem ลฝ . 5. Self-dual representations for GL n, F q 6. Calculation of the element s and consequences 7. Symplectic groups ลฝ . 8. Self-dual representations for SL n, F q ลฝ . 9. The counterexample for SL 6, F , q ' 3 mod 4 q 10. Referen
A Cayley graph = Cay(G, S) is called a graphical regular representation of the group G if Aut = G. One long-standing open problem about Cayley graphs is to determine which Cayley graphs are graphical regular representations of the corresponding groups. A simple necessary condition for to be a graphi