23.4: Reading Questions
What is the Galois group of a field extension?
When are two elements of a field extension conjugate? (In other words, what is the definition?)
Summarize the nature and importance of the Fundamental Theorem of Galois Theory. Capture the essence of the result without getting bogged down in too many details.
Why are “solvable” groups so named? Paraphrasing the relevant theorem would be a good answer.
Argue the following statement, both pro and con. Which side wins the debate?
Everything we have done in this entire course has been in preparation for this chapter.