Linear Characters of Finite Linear Groups
โ Scribed by Nicholas F.J. Inglis
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 78 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
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๐ SIMILAR VOLUMES
The irreducible Brauer characters of SL q are investigated for primes l not n ลฝ . 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
Let G be one of the simple groups A or PSL q where q is the power of a n n prime r. Let p be a prime number dividing the order of G. It is proved that if G has a p-Steinberg character, then G is isomorphic to a semi-simple group of Lie type in characteristic p.
We compute the Schur indices of each irreducible character of SL n, q the special linear group, for all n G 1 and for all q a power of a prime.