How to Define Homomorphisms on Quotient Groups

One way to define a function on a quotient group is to define it in terms of the coset representatives. However, this approach runs into problems of well-definedness. This video explains how we can address that problem. 0:00 Problem Introduction 5:42 Solution 10:34 Non-example: Integers mod 5 11:13 Example: Alternating Group Group Theory playlist: /playlist/PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6 Subscribe to see more new math videos! Music: C418 - Pr Department

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