6533b7dcfe1ef96bd1272874
RESEARCH PRODUCT
A characteristic subgroup and kernels of Brauer characters
Gabriel NavarroI. M. Isaacssubject
Normal subgroupCombinatoricsMaximal subgroupTorsion subgroupBrauer's theorem on induced charactersGeneral MathematicsSylow theoremsCommutator subgroupCharacteristic subgroupFitting subgroupMathematicsdescription
If G is finite group and P is a Sylow p-subgroup of G, we prove that there is a unique largest normal subgroup L of G such that L ⋂ P = L ⋂ NG (P). If G is p-solvable, then L is the intersection of the kernels of the irreducible Brauer characters of G of degree not divisible by p.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-12-01 | Bulletin of the Australian Mathematical Society |