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))

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- November 30th 2007, 09:50 AMelvisGroup 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)) - November 30th 2007, 09:55 AMThePerfectHacker