(Q6) Find all group homomorphisms from Z3 Z4 to Z6 Q7 Let G be a group such that a = e for all a G. Prove Aut(G) is none trivial (Q8) Prove the converse of Lagrange's theorem for finite abelian groups: If the order of a finite abelian group G is divisible by d, then G has a subgroup of order d (Q9) List all none isomorphic classes of abelian groups of order 900