Let G1 and G2 be any two groups and θ : G1 → G2 be a group isomorphism.
Let H1 ≤ G1. Prove that H2 = θ(H1) ≤ G2 and
|G1 : H1| = |G2 : H2|.(10 marks)

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Tagged in
Advanced Math

Group And Commutative Group