Glauberman Correspondence of p-Blocks of Finite Groups
โ Scribed by Shigeo Koshitani; Gerhard O Michler
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 124 KB
- Volume
- 243
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
Let G and A be finite groups with coprime orders. Suppose that A is solvable ลฝ . ลฝ .
ลฝ . and that it acts on G by automorphisms. Let C s C A .
๐ 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
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
## Introduction. 1. p-groups with Small Groups of Operators. 2. The Number of Solutions to x p s 1 in a Sylow p-subgroup of the Symmetric Group. 3. p-groups with Maximal Elementary Subgroup of Order p 2 . 4. On the Maximal Order of Subgroups of Given Exponent in a p-group. ## 5. p-groups with