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In: Advanced Math

Let G = Z4 ⊕ Z4, and H = {(0, 0), (2, 0), (0, 2), (2,...

Let G = Z4 ⊕ Z4, and H = {(0, 0), (2, 0), (0, 2), (2, 2)}, and K = (1, 2). Is G/H isomorphic to Z4 or Z2 ⊕ Z2? Is G/K isomorphic to Z4 or Z2 ⊕ Z2?

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