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Math 6310 • Algebra

Fall 2017 • Question 10

Question

Math 6310 • Algebra Fall 2017 • Question 10

Determine the minimal polynomial of \(\sqrt {4+\sqrt {7}}\) over \(\mathbb {Q}\). Determine the Galois group of this polynomial.

Raw LaTeX

Determine the minimal polynomial of \(\sqrt{4+\sqrt{7}}\) over \(\mathbb{Q}\). Determine the Galois
group of this polynomial.

Topic Tags

Galois Groups of Polynomials Galois Theory Irreducible Polynomials Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization

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