Thread: Group Homomorphisms

I'm somewhat confused, can anybody help ?

Suppose that phi : Z(50)->Z(15) is a group homomorphism with phi(7)=6.
a) determine phi(x)
b) Determine the image of phi
c) determine the kernel of phi
d) determine (phi^-1)(3))

Originally Posted by elvis

I'm somewhat confused, can anybody help ?

Suppose that phi : Z(50)->Z(15) is a group homomorphism with phi(7)=6.
a) determine phi(x)
b) Determine the image of phi
c) determine the kernel of phi
d) determine (phi^-1)(3))

phi(7)=6, so phi(14)=12, phi(21)=3, ... can you continue?