Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2019 • Question 4

Question

Math 6310 • Algebra Fall 2019 • Question 4

Prove that \(\mathbb {Q}(\sqrt [3]{2})\) is not a subfield of any cyclotomic field over \(\mathbb {Q}\).

Raw LaTeX

Prove that \(\mathbb{Q}(\sqrt[3]{2})\) is not a subfield of any cyclotomic field over
\(\mathbb{Q}\).

Topic Tags

Cyclotomic Fields Field Extensions