Vertices of irreducible representations of finite Chevalley groups in the describing characteristic
β Scribed by Richard Dipper
- Publisher
- Springer-Verlag
- Year
- 1980
- Tongue
- French
- Weight
- 842 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
The irreducible Brauer characters of SL q are investigated for primes l not n Ε½ . dividing q. They are described in terms of a set of ordinary characters of SL q n whose reductions modulo l are a generating set of the additive group of generalized Brauer characters and the decomposition numbers of t
## Abstract It is shown how the irreducible representations of a finite group can be calculated from the irreducible characters (the latter can be calculated exactly by using Dixon's method). All elements of the matrix, representing a group element, lie in the rational field of polynomials of ΞΎ = e
Rickard have proved BrouΓ©'s Abelian defect group conjecture for many symmetric groups. We adapt the ideas of Kessar and Chuang towards finite general linear groups (represented over non-describing characteristic). We then describe Morita equivalences between certain p-blocks of GL n q with defect gr