On the Existence of p-Blocks of Defect 0 in Solvable Groups
โ Scribed by Hiroshi Fukushima
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 79 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Defect groups play a key role in the block theory of modular representations of finite groups and are the most important object which connects group theoretical properties and representation theoretical properties. It is well known that the problem-to decide when a given p-subgroup D is a defect gro
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