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Ege Erdil

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6 Questions

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7

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A reference/proof request for a result on real radical extensions

abstract-algebra field-theory galois-theory

Dec 14 '16 at 16:15 Community♦ 1

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answer

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Is there an algebraic extension $ F \neq \bar{\mathbf Q} $ of $ \mathbf Q $ such that every irreducible polynomial in $ F[X] $ has odd degree?

abstract-algebra field-theory galois-theory algebraic-number-theory

Jan 11 '17 at 11:29 user26857 42.7k

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The irreducibility of $ X^q - 3 $ in the field extension $ \mathbb{Q}(\zeta_q, 2^{1/q}) $

abstract-algebra field-theory algebraic-number-theory galois-theory

Apr 21 '16 at 20:01 nguyen quang do 12.2k

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Embedding the absolute Galois group of $ \mathbf Q_p $ into that of $ \mathbf Q $

galois-theory algebraic-number-theory p-adic-number-theory

Oct 6 '16 at 13:24 Community♦ 1

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Is my proof that $ \mathbb{Q}(\sqrt{5}) $ is the only quadratic subfield of $ \mathbb{Q}(\zeta_5) $ correct? [duplicate]

abstract-algebra field-theory galois-theory

Apr 28 '16 at 9:48 Ege Erdil 15.9k

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The degree of an algebraic element over a field extension

abstract-algebra field-theory

May 31 '16 at 4:56 Community♦ 1

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