Thread: Ring homomorphism

Let f: C -> C be a ring homomorphism.

Show there exists a unique element b in Z/nZ s.t.:

f[e^((2pi*i)(m/n))]=e^((2pi*i)(mb/n))

Originally Posted by brisbane

Let f: C -> C be a ring homomorphism, and x be an element of G and let n be the order of x.

Show there exists a unique element b in Z/nZ s.t.:

f[e^((2pi*i)(m/n))]=e^((2pi*i)(mb/n))

What is G?

Whoops, G is a finite group and we don't know whether or not it is irreducible.

Bump?

Edit: I've fixed the problem as well because it made no sense the way I had written it before