I have to prove some isomorphisms of groups, but I am not sure how to write it properly. Let's say we have the groups G={z∈C∗||z|142=z142} and U={z∈C||z|=1} I have to prove that C∗/G≅U, G/R+≅C142 and G/C142≅R+ I think I have to define the images ϕ:C∗→U, ϕ:G→C142 and ϕ:G→R+ and use the first isomorphism theorem.
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