A Natural Proof of the First Isomorphism Theorem (Group Theory)

The first isomorphism theorem is one of the most important theorems in group theory, but the standard proof may seem artificial, like every step of the proof is set up knowing that we're trying to create an isomorphism. In this video, we show an alternate proof with no such tricks using the preimage map of a group homomorphism. Group theory playlist: /playlist/PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6 Subscribe to see more new math videos! 0:00 Setup 6:18 Homomorphism 8:50 Injective 10:35 Surjective Music: C418 - Pr Department

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