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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6320 • Algebra II

Fall 2022 • Question 3

Question

Math 6320 • Algebra II Fall 2022 • Question 3

Let \(K\) be the splitting field of \(x^4-2x^2+4\) over \(\mathbb {Q}\). Determine \(\operatorname {Gal}(K/\mathbb {Q})\).

Raw LaTeX

Let \(K\) be the splitting field of \(x^4-2x^2+4\) over \(\mathbb{Q}\). Determine
\(\operatorname{Gal}(K/\mathbb{Q})\).

Topic Tags

Splitting Fields