Question

Existence of orthogonal base for finite Galois extension over characteristic 2

score 301 · Answer 1 · 2026-05-12 02:22:23

301

Views

Existence of orthogonal base for finite Galois extension over characteristic 2

Published on 12 May 2026 - 2:22

score 105 · Answer 2 · 2026-03-26 16:04:06

105

Views

Radical extension and cubic

Published on 26 Mar 2026 - 16:04

score 160 · Answer 3 · 2026-03-28 13:02:20

160

Views

Computing the Galois Group of $\mathbb{Q}\left(2^{\frac{1}{4}}\right)$ over $\mathbb{Q}$

Published on 28 Mar 2026 - 13:02

score 248 · Answer 4 · 2026-03-28 12:59:24

248

Views

Showing that a Galois group is isomorphic to a subgroup of $GL_2(\mathbb{F}_p)$

Published on 28 Mar 2026 - 12:59

score 75 · Answer 5 · 2026-03-28 13:02:20

75

Views

Question about finite Galois extensions of F and their intersections.

Published on 28 Mar 2026 - 13:02

score 46 · Answer 6 · 2026-03-26 01:23:38

46

Views

Field of definition of a polynomial ideal which is preserved under a Galois action

Published on 26 Mar 2026 - 1:23

score 79 · Answer 7 · 2026-05-11 03:12:07

79

Views

The action of a Galois group on a cyclotomic field.

Published on 11 May 2026 - 3:12

score 522 · Answer 8 · 2026-04-07 12:14:12

522

Views

$K=\mathbb{Q}(\sqrt[8]{2},i)$ and let $F=\mathbb{Q}(\sqrt{-2})$. Find the Galois Group $G(K,F)$

Published on 07 Apr 2026 - 12:14

score 30 · Answer 9 · 2026-03-28 12:59:21

30

Views

Do we need to assume that $K/F$ is finite to do problem 5.8 of Morandi's Field and Galois Theory.

Published on 28 Mar 2026 - 12:59

score 209 · Answer 10 · 2026-03-28 12:58:44

209

Views

Quadratic extension of biquadratic extension Galois over base

Published on 28 Mar 2026 - 12:58

score 107 · Answer 11 · 2026-03-28 12:58:44

107

Views

Which of the following pairs is an extension of fields?

Published on 28 Mar 2026 - 12:58

score 86 · Answer 12 · 2026-03-28 12:57:35

86

Views

Show that the Galois group has a transposition

Published on 28 Mar 2026 - 12:57

score 59 · Answer 13 · 2026-03-28 13:01:36

59

Views

Find an extension $F/L$ such that $F/\mathbb{Q}$ is radical

Published on 28 Mar 2026 - 13:01

score 85 · Answer 14 · 2026-03-28 12:59:21

85

Views

Galois group of $F/K$ where $F/K$ is galois with $[F:K]=8$ and where there is an intermediate field $E$ with $[E:K]=4$ such that $E/K$ is not galois

Published on 28 Mar 2026 - 12:59

score 54 · Answer 15 · 2026-03-26 16:14:04

54

Views

Let $\omega = e^{\frac{2\pi i}{5}}$. Determine the Galois group $G = Gal(K/\mathbb{Q})$

Published on 26 Mar 2026 - 16:14

List Question

Existence of orthogonal base for finite Galois extension over characteristic 2

Radical extension and cubic

Computing the Galois Group of $\mathbb{Q}\left(2^{\frac{1}{4}}\right)$ over $\mathbb{Q}$

Showing that a Galois group is isomorphic to a subgroup of $GL_2(\mathbb{F}_p)$

Question about finite Galois extensions of F and their intersections.

Field of definition of a polynomial ideal which is preserved under a Galois action

The action of a Galois group on a cyclotomic field.

$K=\mathbb{Q}(\sqrt[8]{2},i)$ and let $F=\mathbb{Q}(\sqrt{-2})$. Find the Galois Group $G(K,F)$

Do we need to assume that $K/F$ is finite to do problem 5.8 of Morandi's Field and Galois Theory.

Quadratic extension of biquadratic extension Galois over base

Which of the following pairs is an extension of fields?

Show that the Galois group has a transposition

Find an extension $F/L$ such that $F/\mathbb{Q}$ is radical

Galois group of $F/K$ where $F/K$ is galois with $[F:K]=8$ and where there is an intermediate field $E$ with $[E:K]=4$ such that $E/K$ is not galois

Let $\omega = e^{\frac{2\pi i}{5}}$. Determine the Galois group $G = Gal(K/\mathbb{Q})$

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