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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!

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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.

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  • $\begingroup$ See for example Journal of Algebra, 89 (2) (1984), 437–499. Disclaimer: He was my PhD advisor. $\endgroup$
    – Dave Benson
    Commented Apr 3, 2023 at 15:11

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