List questions from galois-extensions

Published on 15 Apr 2026 - 0:37

65

Views

Weaker form of inverse Galois problem

Published on 14 Apr 2026 - 9:34

79

Views

Correspondence between finite Galois extensions and abelian p-groups

Published on 14 Apr 2026 - 15:00

257

Views

Classification of cyclic Galois extensions

Published on 11 Apr 2026 - 18:18

146

Views

Galois extensions of a ring of integers

Published on 16 Apr 2026 - 11:13

509

Views

Deducing Galois group of $t^6 + 3$ over the rationals

Published on 10 May 2026 - 20:17

900

Views

Galois groups of quartic over $\mathbb Q$ and $\mathbb Q(i)$

Published on 14 Apr 2026 - 15:38

1.4k

Views

Let $F$ be a Galois extension over $\mathbb{Q}$ with $[F:\mathbb{Q}]=2^n$, then all elements in $F$ are constructible

Published on 17 Apr 2026 - 3:28

2k

Views

Galois Groups of Finite Extensions of Fixed Fields

Published on 12 Apr 2026 - 15:21

3.9k

Views

Ways of finding primitive element of separable extension $\Bbb{Q}(\sqrt[4]{2},i)$ over $\Bbb{Q}$.

Published on 16 Apr 2026 - 11:01

64

Views

Determine $\operatorname{Aut}_{\mathbb{Q}}L$ for $L = \mathbb{Q}[u]$, where $u$ is a root of $x^3 - 3x^2 + 3$

Published on 17 Apr 2026 - 11:52

815

Views

What is the Galois group of the polynomial $f(x)=x^3-3$ over $\mathbb{Q}$?

Published on 13 Apr 2026 - 2:34

116

Views

Elementary function defined by A Magid

Published on 11 Apr 2026 - 8:28

589

Views

Property of a trace and norm of the Galois extension

Published on 10 Apr 2026 - 13:28

1k

Views

When is the order of Galois group equals the group of permutation $S_{n}$

Published on 13 Apr 2026 - 19:31

List Question

Find primitive element and Galois group of extension

Weaker form of inverse Galois problem

Correspondence between finite Galois extensions and abelian p-groups

Classification of cyclic Galois extensions

Galois extensions of a ring of integers

Deducing Galois group of $t^6 + 3$ over the rationals

Galois groups of quartic over $\mathbb Q$ and $\mathbb Q(i)$

Let $F$ be a Galois extension over $\mathbb{Q}$ with $[F:\mathbb{Q}]=2^n$, then all elements in $F$ are constructible

Galois Groups of Finite Extensions of Fixed Fields

Ways of finding primitive element of separable extension $\Bbb{Q}(\sqrt[4]{2},i)$ over $\Bbb{Q}$.

Determine $\operatorname{Aut}_{\mathbb{Q}}L$ for $L = \mathbb{Q}[u]$, where $u$ is a root of $x^3 - 3x^2 + 3$

What is the Galois group of the polynomial $f(x)=x^3-3$ over $\mathbb{Q}$?

Elementary function defined by A Magid

Property of a trace and norm of the Galois extension

When is the order of Galois group equals the group of permutation $S_{n}$

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