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  3. let (g,+) be an abelian group and u a subgroup of

Let (G,+) be an abelian group and U a subgroup of G. Prove that G is...

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Advance Math

Let (G,+) be an abelian group and U a subgroup of G. Prove thatG is the direct product of U and V (where V a subgroup of G) ifonly if there is a homomorphism f : G ? U with    f|U =IdU

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