Answer to Question #231578 in Abstract Algebra for sai

Question #231578

For positive integers n, k, consider the subset Gn,k:= {ζ k | ζ ∈ µn} of µn. (i) Determine whether Gn,k is a subgroup of µn. Justify your answer. (ii) Determine whether Gn,k is equal to µm for some integer m. Justify your answer.

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