Kernels of Homomorphisms in Abstract Algebra

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We introduce kernels of homomorphisms. We give the definition of kernel in group theory, an example of a kernel of a homomorphism onto the additive group of real numbers, then finish by proving the kernel of a homomorphism is a normal subgroup of the domain group of the homomorphism. #abstractalgebra #grouptheory

Group Homomorphisms: https://youtu.be/rJpu22jMeIY
Basic Properties of Homomorphisms: https://youtu.be/7tRDyAbgrJ8
Normal Subgroups: https://youtu.be/kbT5SyF3H60
Fundamental Homomorphism Theorem: (coming soon)

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0:00 Intro
0:33 Definition of Kernel of a Homomorphism
1:26 Example of a Kernel of a Homomorphism
5:08 Proof Kernel is a Normal Subgroup
10:21 Outro