Determine the subgroup generated

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(1) Consider the subset S = {[0], [2], [3]} of the Z8 considered as the additive group modulo 8. Determine the set S + S. Is it a subset of S? If H was a subgroup of Z8, what do you expect H + H to be? Determine the subgroup generated by S, i.e., the smallest subgroup of Z8 which contains S.

Reference no: EM131396726

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