List questions from galois-extensions

Published on 25 Mar 2026 - 9:28

167

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Show that $[k(t): k(t^4 + t) ] = 4$

Published on 22 Mar 2026 - 7:12

279

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Fundamental Algebra Theorem un other fields

Published on 17 Mar 2026 - 7:38

83

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Degree of an extension field

Published on 25 Mar 2026 - 5:01

2.1k

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Determine Minimal Polynomial of Primitive 10th Root of Unity

Published on 20 Mar 2026 - 12:42

551

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finite Galois extension question

Published on 17 Mar 2026 - 1:10

477

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biquadratic extension over a field of characteristic 2

Published on 25 Mar 2026 - 13:55

201

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If $E= \mathbb{Q}(\sqrt{2} + \sqrt{7})$ Show that $E/\mathbb{Q}$ is a Galois Extension.

Published on 25 Mar 2026 - 9:48

176

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irreducible polynomial over finite field.

Published on 25 Mar 2026 - 17:50

293

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Question about Galois Extension and fixed field by a Subgroup of the Galois group

Published on 25 Mar 2026 - 15:53

152

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Determine invariant subfield and order in $\operatorname{Aut}(L)$

Published on 25 Mar 2026 - 9:27

401

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Prove that there is a Galois extension $E$ of $\mathbb{Q}$ such that Gal$(E/\mathbb{Q}) \cong \mathbb{Z}_{18}$

Published on 22 Apr 2018 - 22:02

250

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What is Gal$_\mathbb{Q}(x^4 + 5x^3 + 10x + 5)$?

Published on 22 Mar 2026 - 19:40

187

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Galois group is $S_n$ then $L$ is the splitting field of a degree $n$ polynomial

Published on 26 Apr 2018 - 14:40

42

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Find the primitive ideal for a given Galois extension.

Published on 17 Mar 2026 - 14:16

List Question

Restrictions of $Gal(\mathbb{C}/\mathbb{Q})$ to a finite extension $\mathbb{K}$ of $\mathbb{Q}$

Show that $[k(t): k(t^4 + t) ] = 4$

Fundamental Algebra Theorem un other fields

Degree of an extension field

Determine Minimal Polynomial of Primitive 10th Root of Unity

finite Galois extension question

biquadratic extension over a field of characteristic 2

If $E= \mathbb{Q}(\sqrt{2} + \sqrt{7})$ Show that $E/\mathbb{Q}$ is a Galois Extension.

irreducible polynomial over finite field.

Question about Galois Extension and fixed field by a Subgroup of the Galois group

Determine invariant subfield and order in $\operatorname{Aut}(L)$

Prove that there is a Galois extension $E$ of $\mathbb{Q}$ such that Gal$(E/\mathbb{Q}) \cong \mathbb{Z}_{18}$

What is Gal$_\mathbb{Q}(x^4 + 5x^3 + 10x + 5)$?

Galois group is $S_n$ then $L$ is the splitting field of a degree $n$ polynomial

Find the primitive ideal for a given Galois extension.

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