Question: For to = (1/2)(1 + i), let G be the multiplicative group {wn|n Z+, 1 n 8}. (a) Show that G is

For to = (1/√2)(1 + i), let G be the multiplicative group {wn|n ∈ Z+, 1 ≤ n ≤ 8}.
(a) Show that G is cyclic and find each element x e G such that (x) = G.
(b) Prove that G is isomorphic to the group (Z8, +).

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