10 2) (i) Prove that H = (0, 2, 4, 6, 8) is a subgroup of Z (ii) Prove that H is a normal subgroup of Z (iii) Compute the left cosets of H in Zo (iv) Describe the factor group (also called the coset group) Z/H by giving a well-known group to which it is isomorphic. Explicitly, give the isomorphism. 10

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