MathCastle
Groups and FieldsEasyNormal Subgroups and Quotient Groups

Normal Subgroups and Quotient Groups · Easy problem

Let φ:Z10→Z15\varphi: \mathbb Z_{10} \to \mathbb Z_{15} send k↦6k mod 15k \mapsto 6k \bmod 15. What is ∣im⁡φ∣|\operatorname{im}\varphi|?