Question

How to check if permutation induces an element of the Galois group.

score 47 · Answer 1 · 2026-03-26 07:59:12

47

Views

How to check if permutation induces an element of the Galois group.

Published on 26 Mar 2026 - 7:59

score 122 · Answer 2 · 2018-12-12 23:17:01

122

Views

A cyclic subgroup of order 3 of the Galois group $Gal(\Bbb{R}(x)/\Bbb{R})$

Published on 12 Dec 2018 - 23:17

score 84 · Answer 3 · 2026-03-25 01:20:22

84

Views

On a special kind of six dimensional vector subspace of $\mathbb C^9$ related to the primitive $9$-th root of unity

Published on 25 Mar 2026 - 1:20

score 513 · Answer 4 · 2026-03-27 15:05:37

513

Views

Proof with Galois theory that $K(\sqrt \alpha) = K(\sqrt \beta)$ if and only if it exists $\gamma$ with $\alpha = \gamma^2\beta$

Published on 27 Mar 2026 - 15:05

score 738 · Answer 5 · 2026-03-27 14:59:03

738

Views

Determine the fixed field of a field of rational functions and its Galois group.

Published on 27 Mar 2026 - 14:59

score 206 · Answer 6 · 2026-03-26 06:34:43

206

Views

Are the prime cyclotomic polynomials irreducible over any field where they're not obviously reducible ?

Published on 26 Mar 2026 - 6:34

score 149 · Answer 7 · 2026-03-25 17:52:03

149

Views

Showing Two Polynomials Have Isomorphic Splitting Fields over $\mathbb{F}_p$

Published on 25 Mar 2026 - 17:52

score 179 · Answer 8 · 2026-03-25 19:25:26

179

Views

When is $x^{2^n} + 1$ Reducible in $\mathbf{F}_p$ For All Primes $p$

Published on 25 Mar 2026 - 19:25

score 119 · Answer 9 · 2026-03-25 15:58:27

119

Views

Question on given compass and ruler construction definition wrt. angle bisection

Published on 25 Mar 2026 - 15:58

score 222 · Answer 10 · 2018-12-16 23:34:02

222

Views

$\text{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$ without choice

Published on 16 Dec 2018 - 23:34

score 1.9k · Answer 11 · 2026-03-27 18:09:27

1.9k

Views

Galois group of $x^3+x+1$ over $\mathbb{Q}$ is isomorphic to $S_3 $

Published on 27 Mar 2026 - 18:09

score 200 · Answer 12 · 2026-03-26 08:23:12

200

Views

cardinality of Galois group in $\mathbb{Q}$($\zeta_n$)

Published on 26 Mar 2026 - 8:23

score 168 · Answer 13 · 2018-12-20 19:04:20

168

Views

A way to find intermediate fields of a Galois extension

Published on 20 Dec 2018 - 19:04

score 339 · Answer 14 · 2026-03-27 19:43:37

339

Views

Splitting field of $x^4 -t$ over $\mathbb{F}_p(t)$

Published on 27 Mar 2026 - 19:43

score 432 · Answer 15 · 2026-03-30 06:23:28

432

Views

The minimal polynomial is the determinant of $xI-L_{\alpha}$.

Published on 30 Mar 2026 - 6:23

List Question

How to check if permutation induces an element of the Galois group.

A cyclic subgroup of order 3 of the Galois group $Gal(\Bbb{R}(x)/\Bbb{R})$

On a special kind of six dimensional vector subspace of $\mathbb C^9$ related to the primitive $9$-th root of unity

Proof with Galois theory that $K(\sqrt \alpha) = K(\sqrt \beta)$ if and only if it exists $\gamma$ with $\alpha = \gamma^2\beta$

Determine the fixed field of a field of rational functions and its Galois group.

Are the prime cyclotomic polynomials irreducible over any field where they're not obviously reducible ?

Showing Two Polynomials Have Isomorphic Splitting Fields over $\mathbb{F}_p$

When is $x^{2^n} + 1$ Reducible in $\mathbf{F}_p$ For All Primes $p$

Question on given compass and ruler construction definition wrt. angle bisection

$\text{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$ without choice

Galois group of $x^3+x+1$ over $\mathbb{Q}$ is isomorphic to $S_3 $

cardinality of Galois group in $\mathbb{Q}$($\zeta_n$)

A way to find intermediate fields of a Galois extension

Splitting field of $x^4 -t$ over $\mathbb{F}_p(t)$

The minimal polynomial is the determinant of $xI-L_{\alpha}$.

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