Let G be an abelian group and let H,K be subgroups of G Show that the join H V K is the set ab a H, b K Extend this result to any finite number of subgroups of G ...

ANSWER To show that the join of H and K is the set ab a H b K we need to show two things 1 Every element in H V K can be written as a product of an el ...

Let G be an abelian group and let H,K be subgroups of G. Show that the join

Question:

Let G be an abelian group and let H,K be subgroups of G. Show that the join H V K is the set {ab| a ϵ H, b ϵ K}. Extend this result to any finite number of subgroups of G.

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