SOLVED: Show that the mapping ϕ(a b i)=a-b i is an automorphism of the group of complex numbers under addition. Show that ϕ preserves complex multiplication as well-that is, ϕ(x y)=ϕ(x) ϕ(y) for all x and y in 𝐂. (This exercise is referred to in Chapter 15.)

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