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Groups and FieldsEasyHomomorphisms and Isomorphisms

Homomorphisms and Isomorphisms · Easy problem

Let φ:Z15→Z15\varphi: \mathbb Z_{15} \to \mathbb Z_{15} be φ(k)=6k mod 15\varphi(k) = 6k \bmod 15. How many elements does ker⁡φ\ker\varphi have?