On Blocks of Finite Reductive Groups and Twisted Induction
β Scribed by Marc Cabanes; Michel Enguehard
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 362 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0001-8708
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π SIMILAR VOLUMES
Let p be a prime number and K be an algebraically closed field of characteristic p. Let G be a finite group and B be a (p-) block of G. We denote by l B the number of isomorphism classes of irreducible KG-modules in B. Let D be a defect group of B and let B 0 be the Brauer correspondent of B, that i
A conjecture of Michel Broue states that if D is an abelian Sylow p-subgroup of Β΄Ε½ . a finite group G, and H s N D , then the principal blocks of G and H are G Rickard equivalent. The structure of groups with abelian Sylow p-subgroups, as determined by P. Fong and M. E. Harris, raises the following
## Abstract We prove that all algebras __P__(__w__)__/I__~R~, where the __I__~R~β's are ideals generated by partitions of W into finite and arbitrary large elements, are isomorphic and homogeneous. Moreover, we show that the smallest size of a tower of such partitions with respect to the eventually