I would really appreciate if anyone could help me with this problem.(adsbygoogle = window.adsbygoogle || []).push({});

F is a group homomorphism from G= (E, *) to H= (F,#).

If , for all x e E , x*x e ker(f).

Show that for all x e E, f(x-1)=f(x)

Now I don't know how I should start the proof. Also, I would like to know if I can assume that Ker(f) is equal to the identity element.

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# Proof problem, help!

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