On 2-Blocks of Characters with Defect 1
โ Scribed by Peter Schmid
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 154 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we obtain the ordinary characters and module structures of the Young modules of defect 2 blocks of symmetric group algebras. We also study how these modules induce and restrict in a 2 1 -pair.
I characterize how the irreducible characters of a nilpotent block over a small ground-field are determined one by one by the irreducible characters of its defect groups.
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