What are...group actions on fields?

Goal. Explaining basic concepts of (a classical course in) algebra in an intuitive way. This time. What are...group actions on fields? Or: The beginning of Galois theory Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html Material used. https://en.wikipedia.org/wiki/Galois_... https://en.wikipedia.org/wiki/Fundame... https://en.wikipedia.org/wiki/Galois_... https://en.wikipedia.org/wiki/Splitti... Mathematica. https://reference.wolfram.com/languag... #algebra #galoistheory #mathematics