Let G and H be groups, and suppose φ : G → H is operation-preserving (that is, φ(ab) = φ(a)φ(b) for all a, b ∈ G). Let e

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answerhappygod
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Let G and H be groups, and suppose φ : G → H is operation-preserving (that is, φ(ab) = φ(a)φ(b) for all a, b ∈ G). Let e

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Let G and H be groups, and suppose φ : G → H is
operation-preserving (that is, φ(ab) = φ(a)φ(b) for all a, b ∈
G).
Let e_G and e_H be the identities of G and H,
respectively. Show that φ(e_G) = e_H.
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