Short proof of Abel's theorem that 5th degree polynomial equations cannot be solved

This is a shortened and slightly modified version of Arnold's proof. Familiarity with complex numbers is required to understand the proof.

Recommended further reading/viewing:

https://www.maths.ed.ac.uk/~v1ranick/papers/abel.pdf

http://drorbn.net/dbnvp/AKT-140314.php

https://web.williams.edu/Mathematics/lg5/ArnoldQuintic.pdf

https://www.youtube.com/watch?v=BSHv9Elk1MU

Видео Short proof of Abel's theorem that 5th degree polynomial equations cannot be solved канала Boaz Katz