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The kernel of a group homomorphism measures how far off it is from being one-to-one (an injection). Suppose you have a group homomorphism f: G → G'. The kernel is the set of all elements in G which map to the identity element in G'. It is a subgroup in G and it depends on f. Different homomorphisms between G and G' can give different kernels.
In this video, you will be able to learn-
1) What is Epimorphism?
2) What is Monomoephism?
3) What is The Kernel of homomorphism?
4) How to prove a theorem on homomorphism?
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