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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Proof problem, help!

**Physics Forums | Science Articles, Homework Help, Discussion**