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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6320 • Algebra II

Summer 2021 • Question 2

Question

Math 6320 • Algebra II Summer 2021 • Question 2

Suppose \(f(x) \in \mathbb {Q}[x]\) is a polynomial with Galois group of order \(594 = 2 \cdot 3^3 \cdot 11\). Show that \(f\) is solvable in radicals.

Raw LaTeX

Suppose \(f(x) \in \mathbb{Q}[x]\) is a polynomial with Galois group of
order \(594 = 2 \cdot 3^3 \cdot 11\). Show that \(f\) is solvable in radicals.

Topic Tags

Galois Groups of Polynomials Galois Theory Solvability by Radicals Solvable Groups