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Prove that if ct : G -+ H is a homomorphism and f3 : H -+ K is a homomorphism, thenf3 0
Chapter 21, Problem 21.11(choose chapter or problem)
QUESTION:
Prove that if ct : G -+ H is a homomorphism and f3 : H -+ K is a homomorphism, thenf3 0 ct : G -+ K IS a homomorphism.
Questions & Answers
QUESTION:
Prove that if ct : G -+ H is a homomorphism and f3 : H -+ K is a homomorphism, thenf3 0 ct : G -+ K IS a homomorphism.
ANSWER:Step 1 of 3
Given and be two group homomorphism.
Suppose there are two elements, since is a group homomorphism:
According to the definition,