MathCastle
Groups and FieldsEasyHomomorphisms and Isomorphisms

Homomorphisms and Isomorphisms · Easy problem

The map ψ:Z4→Z4\psi: \mathbb Z_4 \to \mathbb Z_4, ψ(k)=3k mod 4\psi(k) = 3k \bmod 4, is an isomorphism. Find ψ(ψ(1))\psi(\psi(1)).