Solved] Assume that the abelian group (G,*) has two subgroups A and B. Then find if AB where AB={a*b such that a is in A and b is in B} is also
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![Solved The commutator subgroup [G, G] of a group G is the | Chegg.com](https://d2vlcm61l7u1fs.cloudfront.net/media%2F5dc%2F5dc7f43a-d5a1-469f-b0bb-30252ea320d9%2Fphp7EqpWp.png "Solved The commutator subgroup [G, G] of a group G is the | Chegg.com")
Solved The commutator subgroup [G, G] of a group G is the | Chegg.com
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![SOLVED: Let G be a group. Let [G,G] = (c-ly-lrylz,y € G). Show that [G,G] is a normal subgroup of G Show that G/[G,G] is abelian [G,G] is called the commutator subgroup](https://cdn.numerade.com/ask_images/b2e41402efb84869abb4725175ddac70.jpg "SOLVED: Let G be a group. Let [G,G] = (c-ly-lrylz,y € G). Show that [G,G] is a normal subgroup of G Show that G/[G,G] is abelian [G,G] is called the commutator subgroup")