Perhaps someone will help me in this.(adsbygoogle = window.adsbygoogle || []).push({});

I need to prove that the group [G,G] of elements of the form [tex]gh g^{-1}h^{-1}[/tex] where g,h in G, is normal in G, i.e if k is in G, then [tex]kghg^{-1}h^{-1}k^{-1}=aba^{-1}b^{-1}[/tex] for some a,b in G.

I tried writing it as [tex]kghkk^{-1}g^{-1}h^{-1}k^{-1}[/tex], but here is where my attmempt run down the mill, as in not successful.

Any hints?

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# Commutator question.

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