6533b831fe1ef96bd1299702

RESEARCH PRODUCT

p-Brauer characters ofq-defect 0

Gabriel NavarroWolfgang Willems

subject

CombinatoricsNumber theoryBrauer's theorem on induced charactersSolvable groupGeneral MathematicsOrder (group theory)Algebraic geometryMathematics::Representation TheoryCentralizer and normalizerMathematics

description

For ap-solvable groupG the number of irreducible Brauer characters ofG with a given vertexP is equal to the number of irreducible Brauer characters of the normalizer ofP with vertexP. In this paper we prove in addition that for solvable groups one can control the number of those characters whose degrees are divisible by the largest possibleq-power dividing the order of |G|.

yearjournalcountryeditionlanguage
1994-12-01Manuscripta Mathematica
https://doi.org/10.1007/bf02567463