For such a p-chain C we denote m j=0 N G U j by N G C , and by C we denote the length m of C. Moreover, for a given p-block B of G and a non-negative integer d, let Irr N G C B d denote the set of irreducible characters ฯ of N G C , such that ฯ belongs to a block of N G C inducing B and such that p
The k(GV) Conjecture for Modules in Characteristic 31
โ Scribed by David Gluck; Kay Magaard
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 159 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
We verify the inductive form of Dade's conjecture for the finite simple groups 2 G 2 3 2m+1 , where m is a positive integer, for the prime p = 3. Together with work by J. An (1994, Indian J. Math. 36, 7-27) this completes the verification of the conjecture for this series of groups.
2แ22 the number of simple kS -modules equals the number of weights for S , n n where S is the symmetric group on n symbols and k is a field of characteristic n p ) 0. In this paper we answer the question, ''When is the Brauer quotient of a simple F S -module V with respect to a subgroup H of S both
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