1. Suppose G = Z12 x Z12 and H =<(2,2)> is the subgroup generated by (2,2). Find the order of the element (5, 8) + H in G/H and prove it. Is G/H cyclic? Explain.
2. Find a direct product of cyclic groups of prime power order that is isomorphic to (Z9 x Z9)/<(3,3)>, prove your answer.
Could anyone help me? please!!