Find a real number \(\alpha \) such that \(\mathbb {Q}(\alpha )\) is a Galois extension of \(\mathbb {Q}\) with the Galois group \(\mathbb {Z}/5\mathbb {Z}\).
Question
Math 6310 • Algebra
Spring 2008 • Question 9
Question
Spring 2008 • Question 9
Find a real number \(\alpha \) such that \(\mathbb {Q}(\alpha )\) is a Galois extension of \(\mathbb {Q}\) with the Galois group \(\mathbb {Z}/5\mathbb {Z}\).