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21 Jan 2023
Problem 4. Let G, G' be finite groups. Suppose that G| and G are relatively prime. Prove that a homomorphism Φ : G â G, must be trivial, i.e., Φ(a)-e, for all a (hint: Use the Lagrange Theorem).
Problem 4. Let G, G' be finite groups. Suppose that G| and G are relatively prime. Prove that a homomorphism Φ : G â G, must be trivial, i.e., Φ(a)-e, for all a (hint: Use the Lagrange Theorem).
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