Question: Problem 2.7. 1. Again G is abelian, #(G) = mn, (m, n) = 1. Use Cauchy's theorem for abelian groups to prove that (#(Km), n)

Problem 2.7. 1. Again G is abelian, #(G) = mn, (m, n) = 1. Use Cauchy's theorem for abelian groups to prove that (#(Km), n) = 1 and (#(Kn), m) = 1. 2. Now use previous results to show #(Km) = m and #(Kn) = n Notes: For Part 1, how do we answer it using Proof by contradiction? Please write on Paper and show the steps to solving and understanding this. Thanks

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