Given an integer \(n\), prove that there exists a monic polynomial with integer coefficients whose Galois group over \(\mathbb {Q}\) is \(S_n\).
Question
Math 6310 • Algebra
Fall 2014 • Question 9
Question
Fall 2014 • Question 9
Given an integer \(n\), prove that there exists a monic polynomial with integer coefficients whose Galois group over \(\mathbb {Q}\) is \(S_n\).