I read that the primitive element theorem for fields was fundamental in expositions of Galois theory before Emil Artin reformulated the subject. What are the differences between pre and post-Artin Galois theory?



What was Galois theory like before Emil Artin?
[The development of Galois theory from Lagrange to Artin](https://doi.org/10.1007/BF00327219) by B. Melvin Kiernan, is a history of pre-Artin Galois theory.


