6533b858fe1ef96bd12b61c4

RESEARCH PRODUCT

Irreducible restriction and zeros of characters

Gabriel NavarroGabriel Navarro

subject

Finite groupPure mathematicsCharacter (mathematics)Applied MathematicsGeneral MathematicsCosetMathematics::Representation TheoryMathematics

description

Let G be a finite group, let N be normal in G and suppose that X is an irreducible complex character of G. Then XN is not irreducible if and only if X vanishes on some coset of N in G.

https://doi.org/10.1090/s0002-9939-00-05747-6