Some presentations for the special linear groups on finite fields
โ Scribed by Giampiero Chiaselotti
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 115 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0373-3114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In [A. Turull, J. Algebra 235 (2001), 275-314], we calculated the Schur index of each of the irreducible characters of the finite special linear groups. In the present paper, we calculate the Schur index of all the irreducible characters of some overgroups of the special linear groups. The overgroup
## Dedicated to Professor J. Tits on the occasion of his sixtieth birthday ABSTRACT. Let G be SL,(k) or Sp(2n, k), k a field. Then a criterion for a ZG-module V to be the direct sum of natural, resp. natural and dual, kG-modules is given. In fact this criterion holds for perfect central extensions