Abstract Algebra 55: Homomorphisms

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Abstract Algebra 55: Homomorphisms

Abstract: We give the definition of a homomorphism between two groups, and show an example homomorphism from Z/2Z to Z/4Z, and a different homomorphism from Z/4Z to Z/2Z.

This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
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Thanks for posting these videos online they have been helping me (and all my classmates which i told them about lol) a lot... just a quick question, so Homomorphism do not need to be bijective but do they have to be either one to one or onto? (the examples you provided, first one was 1-1and second one was onto)
thanks in advance!

scorpion
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Why is the last example is not onto .. I think that a fn to be onto .. every element in the output space should be mapped from any element from the domain??
Thanks

MrMohammadseifi
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