Question

Find the Galois group

score 319 · Answer 1 · 2026-04-01 22:40:50

319

Views

Find the Galois group

Published on 01 Apr 2026 - 22:40

score 56 · Answer 2 · 2026-04-01 22:34:15

56

Views

Given $u=e^{i2\pi\over{7}}$, determine whether $\mathbb{Q}(u)/\mathbb{Q}$ is a Galois extension

Published on 01 Apr 2026 - 22:34

score 180 · Answer 3 · 2014-06-04 13:48:34

180

Views

what is the relation between solving a polynomial and the decomposition series of its galois group?

Published on 04 Jun 2014 - 13:48

score 107 · Answer 4 · 2014-06-05 19:09:42

107

Views

Finding a subgroup of the Galois group of $E/(\mathbb{Z}/(p))$ where $E = (\mathbb{Z}/(p))(t)$, $t$ transcendental.

Published on 05 Jun 2014 - 19:09

score 1.4k · Answer 5 · 2014-06-06 16:22:57

1.4k

Views

Galois group of the quintic polynomial $X^5+X+1$

Published on 06 Jun 2014 - 16:22

score 2.6k · Answer 6 · 2014-06-08 01:25:20

2.6k

Views

Trace/Norm of Field Extension vs Trace/Determinant of Linear Operators

Published on 08 Jun 2014 - 1:25

score 181 · Answer 7 · 2026-03-26 02:55:48

181

Views

Intermediate field of $\mathbb{Q}(\zeta_{17})/\mathbb{Q}$ by $\sigma^8$

Published on 26 Mar 2026 - 2:55

score 114 · Answer 8 · 2014-06-10 12:11:50

114

Views

To find a fifth degree equation by using circles and lines that cannot be solved by radicals

Published on 10 Jun 2014 - 12:11

score 501 · Answer 9 · 2014-06-10 14:39:59

501

Views

Splitting fields and isomorphic

Published on 10 Jun 2014 - 14:39

score 353 · Answer 10 · 2026-03-30 08:31:30

353

Views

Weil restriction - from abstract nonsense to a practical procedure

Published on 30 Mar 2026 - 8:31

score 65 · Answer 11 · 2026-04-02 10:13:49

65

Views

"Algebraic indistinguishability"

Published on 02 Apr 2026 - 10:13

score 180 · Answer 12 · 2026-04-02 00:22:50

180

Views

Let $K = \mathbb{Q}(i2^{1/3}, 3^{1/4})$. Is this a Galois extension?

Published on 02 Apr 2026 - 0:22

score 132 · Answer 13 · 2014-06-10 23:53:45

132

Views

A question on Groups and Galois Theory

Published on 10 Jun 2014 - 23:53

score 311 · Answer 14 · 2014-06-11 02:02:28

311

Views

Is my answer correct on this Galois Theory problem? Find the lattice of subfields of $\mathbb{Q}(\zeta_9)$

Published on 11 Jun 2014 - 2:02

score 61 · Answer 15 · 2026-03-30 13:36:24

61

Views

Does the element exist in the Galois Field?

Published on 30 Mar 2026 - 13:36

List Question

Find the Galois group

Given $u=e^{i2\pi\over{7}}$, determine whether $\mathbb{Q}(u)/\mathbb{Q}$ is a Galois extension

what is the relation between solving a polynomial and the decomposition series of its galois group?

Finding a subgroup of the Galois group of $E/(\mathbb{Z}/(p))$ where $E = (\mathbb{Z}/(p))(t)$, $t$ transcendental.

Galois group of the quintic polynomial $X^5+X+1$

Trace/Norm of Field Extension vs Trace/Determinant of Linear Operators

Intermediate field of $\mathbb{Q}(\zeta_{17})/\mathbb{Q}$ by $\sigma^8$

To find a fifth degree equation by using circles and lines that cannot be solved by radicals

Splitting fields and isomorphic

Weil restriction - from abstract nonsense to a practical procedure

"Algebraic indistinguishability"

Let $K = \mathbb{Q}(i2^{1/3}, 3^{1/4})$. Is this a Galois extension?

A question on Groups and Galois Theory

Is my answer correct on this Galois Theory problem? Find the lattice of subfields of $\mathbb{Q}(\zeta_9)$

Does the element exist in the Galois Field?

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