4:00 "And the powers of these extensions [...] are 3, 2 and 3 respectively" (also written thus in the slide). The first extension is degree 2 as you have stated previously, not 3. Otherwise, the product of the maximal powers would be 18, not 12 as you stated in the previous video,
Hello Dr. Salomone! Thank you for your very informative series of videos, which I find to be the clearest proof of the quintic impossibility that's available online for someone like myself without a background in group theory. In this video however, how do you make the claim that a radical field extension becomes normal? What did you mean specifically by "if we have enough roots of unity"? It didn't seem like they were in the radical extension tower on the slide at 6:30.
Does not explain why the Galois subgroup are or need to be normal, and not a real explanation for why ratios of consecutive galois subgroups need to be Abelian. Love to have the explanations expanded in detail
resolve this polymones is more importante then knowing if they are solvable or not .make a vídeo resolving this polinomes using this method i dont want to know if a quintic is impossable or not. all of vídeos you only do this .
4:00 "And the powers of these extensions [...] are 3, 2 and 3 respectively" (also written thus in the slide). The first extension is degree 2 as you have stated previously, not 3. Otherwise, the product of the maximal powers would be 18, not 12 as you stated in the previous video,
Hello Dr. Salomone! Thank you for your very informative series of videos, which I find to be the clearest proof of the quintic impossibility that's available online for someone like myself without a background in group theory. In this video however, how do you make the claim that a radical field extension becomes normal? What did you mean specifically by "if we have enough roots of unity"? It didn't seem like they were in the radical extension tower on the slide at 6:30.
Ah man this is melting my brain.
Very helpful videos.Thank you.
Does not explain why the Galois subgroup are or need to be normal, and not a real explanation for why ratios of consecutive galois subgroups need to be Abelian. Love to have the explanations expanded in detail
The ladies in your class must find it hard to concentrate.
Jokes aside, very helpful video, thank you very much
Why are you so awesome and good looking?
He's actually a deep fake generated by an AI that exists within the interwebz to spread the gospel of Abstract Algebra.
resolve this polymones is more importante then knowing if they are solvable or not .make a vídeo resolving this polinomes using this method i dont want to know if a quintic is impossable or not. all of vídeos you only do this .