Block multiplicities and the Brauer correspondence
โ Scribed by Harald Ellers; Gregory Hill
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 924 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove that a block of a finite group such that the defect groups are abelian and all the Brauer correspondents (the block itself included) have a unique isomorphism class of simple modules is nilpotent. (C) 1994 Academic Press, Inc.
Suppose that a group \(A\) acts on a group \(G\) of coprime order; then the Glauberman-Isaacs correspondence defines a bijection between the \(A\)-invariant irreducible characters of \(G\) and the irreducible characters of the fixed-point subgroup \(C=\mathrm{C}_{6}(A)\). For a set of primes \(\pi\)
This fluidity between the module and idempotent approaches will characterise what we want to do. We shall also refer to the blocks simply as blocks of the group G.