I can't believe I've been stuck on this the whole day... I'd appreciate any help.(adsbygoogle = window.adsbygoogle || []).push({});

SupposeG is a free abelian group, and even feel free to assume it'sfinitely generated.H is a subgroup. I'm trying to prove thatRank(G/H) = Rank(G) - Rank(H).

Also, I'm looking for the mostbasic proof. (I know there is a proof out there using flatness of the rational numbers as a module etc, but I'm looking for a more direct approach.)

I've been messing about with elements, but not getting anywhere. Any tips/insights?

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# Stuck on Rank(G/H) = Rank(G) - Rank(H) Should be trivial(?)

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