On a Theorem of J. A. Green

J. A. Green proved a theorem which is the converse to a theorem of R. Brauer (Proc. Camb. Philos. Soc.51(1955), 237–239). In this article we give another proof of the theorem concretely without using Frobeniusʹs formula for induced characters and we also state some comments on Brauerʹs induction theorem.