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Math 6310 • Algebra

Fall 2010 • Question 10

Question

Math 6310 • Algebra Fall 2010 • Question 10

For \(p\) a prime, determine the Galois group of \(x^p-2\) over \(\mathbb {Q}\). What is its order? Is it abelian?

Raw LaTeX

For \(p\) a prime, determine the Galois group of \(x^p-2\) over \(\mathbb{Q}\). What is its order?
Is it abelian?

Topic Tags

Abelian Groups and Classification of Finite Abelian Groups Galois Groups of Polynomials Galois Theory

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