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))
Last edited by brisbane; Mar 28th 2010 at 05:51 PM.
Follow Math Help Forum on Facebook and Google+
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
Last edited by brisbane; Mar 28th 2010 at 05:52 PM.
View Tag Cloud