p-Steinberg Characters of Alternating and Projective Special Linear Groups Original Research Article

LetGbe one of the simple groupsAnorPSLn(q) whereqis the power of a primer. Letpbe a prime number dividing the order ofG. It is proved that ifGhas ap-Steinberg character, thenGis isomorphic to a semi-simple group of Lie type in characteristicp.