MathCastle
Groups and FieldsMediumHomomorphisms and Isomorphisms

Homomorphisms and Isomorphisms · Medium problem

Let φ:Z12→Z12\varphi: \mathbb Z_{12} \to \mathbb Z_{12} be given by φ(x)=8x mod 12\varphi(x) = 8x \bmod 12. How many elements are in the image of φ\varphi?