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Avatarjoe
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Homework Statement
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)
Homework Equations
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.