(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose H and K are normal subgroups of G. Prove that G/H x G/K has a subgroup isomorphic to G/(H[itex]\cap[/itex]K)

2. Relevant equations

3. The attempt at a solution

I was trying to find a homomorphism from G to G/H x G/K where G/(H[itex]\cap[/itex]K) is the kernal. Maybe something like if g is in H it getts mapped to (Hg, e), but nothing like that worked. I'm really stuck on this one.

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# Homework Help: Prove a subgroup of G/H X G/K is isomorphic to G/(H intersect K)

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