List questions from galois-extensions

Published on 11 May 2026 - 5:45

174

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

Published on 29 Apr 2026 - 12:52

282

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Fundamental Algebra Theorem un other fields

Published on 10 Apr 2026 - 19:22

87

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Degree of an extension field

Published on 11 May 2026 - 4:36

2.1k

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Determine Minimal Polynomial of Primitive 10th Root of Unity

Published on 12 May 2026 - 3:08

555

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finite Galois extension question

Published on 09 Apr 2026 - 19:17

479

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biquadratic extension over a field of characteristic 2

Published on 14 Apr 2026 - 16:59

203

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

Published on 10 May 2026 - 14:05

182

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irreducible polynomial over finite field.

Published on 13 May 2026 - 15:17

295

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

Published on 13 Apr 2026 - 8:22

155

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

Published on 10 May 2026 - 16:12

404

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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 16 Apr 2026 - 22:45

255

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

Published on 10 May 2026 - 16:39

189

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

Published on 15 Apr 2026 - 5:30

45

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Find the primitive ideal for a given Galois extension.

Published on 11 Apr 2026 - 16:14

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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