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Groups and FieldsMediumHomomorphisms and Isomorphisms

Homomorphisms and Isomorphisms · Medium problem

The isomorphism Z15≅Z3×Z5\mathbb Z_{15} \cong \mathbb Z_3 \times \mathbb Z_5 sends k↦(k mod 3,k mod 5)k \mapsto (k \bmod 3, k \bmod 5). Which element of Z15\mathbb Z_{15} (in {0,…,14}\{0,\dots,14\}) maps to (2,4)(2,4)?