In representation theory of finite groups, there is a well-known and important conjecture due to M. Broue. He has conjectured that, for any prime p, if a finite Η΅roup G has an abelian Sylow p-subgroup P, then the principal p-blocks of G and Ε½ . the normalizer N P of P in G are derived equivalent. Le
Derived Equivalences for the 3-Dimensional Special Unitary Groups in Non-defining Characteristic
β Scribed by Naoko Kunugi; Katsushi Waki
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 131 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 Ο of N G C , such that Ο belongs to a block of N G C inducing B and such that p
This paper is part of a program to study Alperin's weight conjecture and Dade's ordinary conjecture on counting characters in blocks for several finite groups. The local structures of radical subgroups and certain radical 3-chains of a Ree group of type F are given and the conjectures and a conjectu