Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2004 • Question 9

Question

Math 6310 • Algebra Fall 2004 • Question 9

Prove that the Galois group of \(x^3+x-1\) over \(\mathbb {Q}\) is the symmetric group on three letters.

Raw LaTeX

Prove that the Galois group of \(x^3+x-1\) over \(\mathbb{Q}\) is the symmetric group on three
letters.

Topic Tags

Galois Theory Symmetric and Alternating Groups