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Let G and H be groups. J is a normal subgroup of G & K is a normal subgroup of H.

I know that I would use the fundamental homomorphism thereom: Let f:G->H be a homomorphism of G onto H. IF K is the kernel of f, than H=~G/K, and I would apply this to direct products but i dont know how.

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    At what point exactly are you having problems showing that function is a homomorphism? – 2017-02-07
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    Can you write down the equation(s) that express the fact that it is a homomorphism? – 2017-02-07

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