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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6320 • Algebra II

Fall 2021 • Question 3

Question

Math 6320 • Algebra II Fall 2021 • Question 3

Find a complex number \(\eta \) such that \(\mathbb {Q}(\eta )/\mathbb {Q}\) is Galois with Galois group isomorphic to the dihedral group of order 8.

Raw LaTeX

Find a complex number \(\eta\) such that \(\mathbb{Q}(\eta)/\mathbb{Q}\) is
Galois with Galois group isomorphic to the dihedral group of order 8.

Topic Tags

Finite Group Theory Galois Theory Sylow Theorems