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Let G be a group. Prove that following statements are equivalent. a.) G is commutative b.)...

Let G be a group. Prove that following statements are equivalent.

a.) G is commutative

b.) ∀ a,b ∈ G, (ab)2 = a2b2

c.) ∀ n ∈ N, ∀ a,b ∈ G, (ab)n = anbn

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