Can someone give me a roadmap for learning Inverse Galois theory?


I am a PhD student in the representation theory of finite groups. I studied Galois theory when I was an undergraduate student. The Inverse Galois Problem is one of my favourite problems in mathematics. I want to read the book Inverse Galois Theory. (<https://link.springer.com/book/10.1007/978-3-662-55420-3>)


Could you give me some advice? Thank you very much!



Learning Inverse Galois Theory
I would like to suggest that a good place to start is with John Thompson's work on the subject. He initiated the modern approach using the notion of "rigid" tuples of conjugacy classes.


