6533b857fe1ef96bd12b4df5

RESEARCH PRODUCT

On irreducible products of characters

Gabriel NavarroPham Huu Tiep

subject

Finite groupPure mathematicsAlgebra and Number Theory010102 general mathematicsType (model theory)01 natural sciencesTensor productProduct (mathematics)0103 physical sciences010307 mathematical physics0101 mathematicsMathematics::Representation TheoryMathematicsConjugate

description

Abstract We study the problem when the product of two non-linear Galois conjugate characters of a finite group is irreducible. We also prove new results on irreducible tensor products of cross-characteristic Brauer characters of quasisimple groups of Lie type.

https://doi.org/10.1016/j.jalgebra.2020.12.028