Date: Fri, 13 Sep 96 14:31:32 0000 From: David EvansDear Forum, Is it true that if $G$ is any non-trivial finite group then there exists a non-split epimorphism $\phi : H \rightarrow G$ for some finite $H$? I think this follows from a theorem of Gasch\"utz and some modular representation theory, but (a) I could be mistaken; and (b) if I'm not mistaken, could someone provide me with an explicit reference for this fact? David Evans.