6533b86efe1ef96bd12cc642

RESEARCH PRODUCT

Coprime actions and correspondences of Brauer characters

Gabriel NavarroBritta SpäthPham Huu Tiep

subject

Mathematics::CombinatoricsConjectureCoprime integersGeneral Mathematics010102 general mathematics01 natural sciencesCombinatoricsMathematics::Group TheoryMathematics::Algebraic GeometryAction (philosophy)0103 physical sciencesBijection010307 mathematical physics0101 mathematicsMathematics::Representation TheoryBijection injection and surjectionMathematics

description

We prove several results giving substantial evidence in support of the conjectural existence of a Glauberman–Isaacs bijection for Brauer characters under a coprime action. We also discuss related bijections for the McKay conjecture.

https://doi.org/10.1112/plms.12016