Zeros of Brauer characters and linear actions of finite groups: small primes. (Q397860)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Zeros of Brauer characters and linear actions of finite groups: small primes. |
scientific article; zbMATH DE number 6329097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeros of Brauer characters and linear actions of finite groups: small primes. |
scientific article; zbMATH DE number 6329097 |
Statements
Zeros of Brauer characters and linear actions of finite groups: small primes. (English)
0 references
12 August 2014
0 references
Brauer characters
0 references
finite groups
0 references
linear actions
0 references
\(p\)-Brauer character tables
0 references
primitive modules
0 references
Clifford theory
0 references
Fitting subgroup
0 references
semilinear groups
0 references
irreducible actions
0 references
The finite groups whose \(p\)-Brauer character table, for \(p=2\) or \(p=3\), does not contain any zero are classified. As such, the analysis as done by the authors for \(p\geq 5\) [ibid. 340, No. 1, 104-113 (2011; Zbl 1253.20007)], has been made complete.NEWLINENEWLINE The eighteen lemmas, propositions and theorems in this paper require sometimes rather involved but ingenious arguments. There is much information hidden in the proofs. The contents provides several issues suited for related proposes. The paper centers around irreducible actions with relevant orbit properties.
0 references
