(adsbygoogle = window.adsbygoogle || []).push({}); find a group isomorphic to ℤ

1. Knowing the below proof, The group of units of ℤis isomorphic to a familiar group. Which one?

2. We have already shown: "Let R be a ring with unity, and let U denote the set of units in R. Show that U is a group under the multiplication in R."

Also, ℤhas been defined as the set of all complex numbers of the form a+bi, where a,b∈ℤ.

3. Does it have something to do do with the homomorphism Norm(a+bi)=a^2+b^2? I don't think so, because Norm is not an isomorphism, right?

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# Find a group isomorphic to ℤ

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