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Let ϕ : G → H be a homomorphism of groups. (i) Show that ker ϕ...

Let ϕ : G → H be a homomorphism of groups.

(i) Show that ker ϕ is a normal subgroup of G.

Let ϕ : Z24 → Z6 be defined by ϕ(n) = n.

(ii) Show that ϕ is well-defined.

(iii) Show that ϕ is a homomorphism.

(iv) Find ker ϕ.

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