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Groups and FieldsEasyHomomorphisms and Isomorphisms

Homomorphisms and Isomorphisms · Easy problem

The map φ3:Z10→Z10\varphi_3: \mathbb Z_{10} \to \mathbb Z_{10}, φ3(k)=3k mod 10\varphi_3(k) = 3k \bmod 10, is an automorphism. Find φ3(φ3(7))\varphi_3(\varphi_3(7)).