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The book I study from seems to pass over Group Homomorphisms very fast. So I decided to look at Artin's to help and it uses the same definition. So I think I am just not digesting something I should be. I know it's defined as [tex]\phi[/tex] (a*b) = [tex]\phi[/tex] (a) * [tex]\phi[/tex] and that it maps the inverses to the inverses but I just have no idea how to apply these.