Part II - Isomorphism Theorem and correspondance Theorem Warning : the next two questions are related. Let o : G - H be a group epimorphism. 4. (a) Show that |G| is finite if and only if | H ) and | ker o) are finite. (b) If H ~ Z/6Z and | ker o] = 3, then show that |G) = 18. 5. (a) Show that if H est abelian and ker o C K