Semidirect products explanation: https://youtu.be/Pat5Qsmrdaw
Semidirect products are very useful in group theory. To understand why, it's helpful to see an example. Here we show how to write the dihedral group D_2n as a semidirect product, and how we can describe that purely using cyclic groups!
Group Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6
0:00 Inner semidirect product
6:42 Abstract form
10:37 Example multiplication
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Inner Semidirect Product Example: Dihedral Group | NatokHD