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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 1998 • Question 10

Question

Math 6310 • Algebra Fall 1998 • Question 10

Prove that the Galois group of \(X^3-X-1\) over \(\mathbb {Q}\) is \(S_3\), the symmetric group on three elements.

Raw LaTeX

Prove that the Galois group of \(X^3-X-1\) over \(\mathbb{Q}\) is \(S_3\), the symmetric group on
three elements.

Topic Tags

Galois Theory Symmetric and Alternating Groups