Proving Induced Homomorphism from Normal Subgroup

[JasonRox]

The actual question is irrelevant. What I need to know is what are they actually asking me to do!

I'll write the question. I can probably solve it myself. Maybe I'm just too tired to think. I will ask my prof. during seminar on Monday anyways, but I'd rather not because he would problem just solve it and I don't want that.

The question is...

Let N be normal in G and let f:G->H be a homomorphism whose kernel contains N. Show that f induces a homomorphism f*:G/N->H by f*(Na) = f(a).

Do I only need to show that f* is well-defined and that f* is in fact a homomorphism?

 

[ircdan]

Yup just show it's well defined and that it's a homomorphism.

 

[JasonRox]

Perfect. That's all I needed to know.