MathCastle
Groups and FieldsHardHomomorphisms and Isomorphisms

Homomorphisms and Isomorphisms · Hard problem

The map φ:Z10→Z10\varphi:\mathbb Z_{10}\to\mathbb Z_{10}, φ(x)=3x mod 10\varphi(x)=3x\bmod10, is an isomorphism. Find φ−1(1)\varphi^{-1}(1).