List questions from galois-theory

Published on 03 Apr 2026 - 19:47

247

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Tensor product of Galois extensions isomorphic as an algebra to a direct product

Published on 12 Dec 2019 - 22:30

1.1k

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The Frobenius automorphism of a number field extension

Published on 12 Dec 2019 - 22:49

118

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Explanation about a theorem from Basic Algebra I, Jacobson

Published on 26 Mar 2026 - 14:28

140

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Example of non splitting finite extension of characteristic $p$.

Published on 03 Apr 2026 - 19:48

227

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$\mathbb Q(2^{1/3}+3^{1/3})=\mathbb Q(2^{1/3},3^{1/3})$?

Published on 03 Apr 2026 - 19:47

656

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Simple transcendental field extensions

Published on 03 Apr 2026 - 19:45

62

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Find degree of minimal polynomial $20^{\frac{1}{3}} + 5^{\frac{1}{3}}$

Published on 15 Dec 2019 - 15:09

1000

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Galois Group of $X^5+aX+b$

Published on 28 Mar 2026 - 9:33

42

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Bounding degree of normal closure of number field in terms of degree of number field

Published on 17 Dec 2019 - 13:56

361

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Field fixed by the conjugation automorphism in a Galois extension

Published on 29 Mar 2026 - 6:47

191

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upper bound for discriminant of a number field

Published on 17 Dec 2019 - 21:53

146

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On solvable equations and a good book about Galois Theory

Published on 25 Mar 2026 - 22:11

154

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Show that a polynomial is solvable (soluble)

Published on 26 Mar 2026 - 1:14

101

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Sufficient Requirement to be a Galois Extension of $\mathbb{Q}$

Published on 28 Mar 2026 - 9:34

List Question

Is the extension $\mathbb{Q} \left( \sqrt{2}, \sqrt{3}, \sqrt{5} \right)$ simple?

Tensor product of Galois extensions isomorphic as an algebra to a direct product

The Frobenius automorphism of a number field extension

Explanation about a theorem from Basic Algebra I, Jacobson

Example of non splitting finite extension of characteristic $p$.

$\mathbb Q(2^{1/3}+3^{1/3})=\mathbb Q(2^{1/3},3^{1/3})$?

Simple transcendental field extensions

Find degree of minimal polynomial $20^{\frac{1}{3}} + 5^{\frac{1}{3}}$

Galois Group of $X^5+aX+b$

Bounding degree of normal closure of number field in terms of degree of number field

Field fixed by the conjugation automorphism in a Galois extension

upper bound for discriminant of a number field

On solvable equations and a good book about Galois Theory

Show that a polynomial is solvable (soluble)

Sufficient Requirement to be a Galois Extension of $\mathbb{Q}$

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