The complex characters of the symmetric groups that remain irreducible in subgroups
β Scribed by Jan Saxl
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 523 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
## Method of solution Murnaghan's rule for the calculation of the irreducible char-Catalogue number: AAMK acters of the symmetric group is implemented in a compact program.
We show that if P is a Sylow 2-subgroup of the finite symplectic group m Ε½ . ## Sp q , where q is a power of 2, then P has irreducible complex characters of 2 m m yt mΕ½ my1.r2 w x degree 2 q , where t is any integer satisfying 0 F t F mr2 , and that q mΕ½ my1.r2 is the largest possible degree of a
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