Uploaded March 2021 | Updated September 2026, 2 weeks ago
Semidirect products explanation: 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: youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6
0:00 Inner semidirect product
6:42 Abstract form
10:37 Example multiplication
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Music: C418 - Pr Department
Semidirect products explanation: 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: youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6
0:00 Inner semidirect product
6:42 Abstract form
10:37 Example multiplication
Subscribe to see more new math videos!
Music: C418 - Pr Department
![Introduction and Derivation of F[x]-Modules](https://i.ytimg.com/vi/H44q_Urmts0/mqdefault.jpg "Introduction and Derivation of F[x]-Modules
Modules over a polynomial ring have very important applications to linear algebra. Here we prove some basic properties of F[x]-modules and show how they are related to vector spaces over a field.
Ring & Module Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7
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Music: C418 - Pr Department")
