p-Steinberg Characters of Finite Simple Groups Original Research Article

LetGbe a finite group andpa prime divisor of G. Ap-Steinberg character ofGis an irreducible character χ ofGsuch that χ(x) = ± CG(x)pfor everyp′-elementx set membership, variant G. A conjecture of W. Feit states that if a finite simple groupGhas ap-Steinberg character thenGis a finite simple group of Lie type in characteristicp. In this paper we prove this conjecture, using the classification of finite simple groups.