Question

If $F$ is a finite Galois extension over $K$ and $Gal(F/K)$ is abelian, then every subfield of $F$ containing $K$ is stable?

score 45 · Answer 1 · 2020-02-07 03:42:22

45

Views

If $F$ is a finite Galois extension over $K$ and $Gal(F/K)$ is abelian, then every subfield of $F$ containing $K$ is stable?

Published on 07 Feb 2020 - 3:42

score 55 · Answer 2 · 2020-02-07 03:55:14

55

Views

finite extension $K\subseteq L$ whose $\mathrm{Aut}(L/K)$ is infinite group?

Published on 07 Feb 2020 - 3:55

score 316 · Answer 3 · 2026-03-31 17:48:15

316

Views

Solvability in radicals, elementary functions and monodromy/Galois groups

Published on 31 Mar 2026 - 17:48

score 68 · Answer 4 · 2020-02-08 21:48:07

68

Views

A Non-Trivial Algebraic Number using transcendental numbers

Published on 08 Feb 2020 - 21:48

score 368 · Answer 5 · 2026-03-25 17:19:55

368

Views

Maximal tamely ramified extension of $\mathbb{Q}_p$

Published on 25 Mar 2026 - 17:19

score 337 · Answer 6 · 2020-02-11 15:10:56

337

Views

Find minimal polynomial of $ \alpha = \zeta_5 + i \sqrt[4]{5}$ over $\mathbb {Q}$

Published on 11 Feb 2020 - 15:10

score 91 · Answer 7 · 2020-02-12 03:46:56

91

Views

Equivalent Splitting Fields for two polynomials

Published on 12 Feb 2020 - 3:46

score 217 · Answer 8 · 2020-02-12 08:08:48

217

Views

Reference-Galois Theory

Published on 12 Feb 2020 - 8:08

score 86 · Answer 9 · 2020-02-13 01:59:44

86

Views

Splitting field for $x^4-2\in\mathbb{Q}[x]$.

Published on 13 Feb 2020 - 1:59

score 67 · Answer 10 · 2020-02-13 18:43:05

67

Views

$\text{Gal}(\widetilde{K}/\mathbb{Q})$-action on embeddings of $K$ into $\overline{\mathbb{Q}}$

Published on 13 Feb 2020 - 18:43

score 259 · Answer 11 · 2026-02-23 04:55:23

259

Views

How can I solve, for example, $n^5-625n+1632=0$ for $n$ if it is solvable?

Published on 23 Feb 2026 - 4:55

score 338 · Answer 12 · 2026-03-25 06:06:59

338

Views

For the discriminant of a polynomial, how to prove $\Delta(f \bmod p) = \Delta(f) \bmod p$?

Published on 25 Mar 2026 - 6:06

score 64 · Answer 13 · 2020-02-17 19:09:41

64

Views

Normal Basis Theorem and Regular Representation of $S_3$

Published on 17 Feb 2020 - 19:09

score 84 · Answer 14 · 2020-02-18 12:19:56

84

Views

Galois theory: Permutation of zeros

Published on 18 Feb 2020 - 12:19

score 261 · Answer 15 · 2020-02-20 04:01:14

261

Views

Galois group of splitting field of $x^5-4x+2$ over $\mathbb{Q}$ is transitive?

Published on 20 Feb 2020 - 4:01

List Question

If $F$ is a finite Galois extension over $K$ and $Gal(F/K)$ is abelian, then every subfield of $F$ containing $K$ is stable?

finite extension $K\subseteq L$ whose $\mathrm{Aut}(L/K)$ is infinite group?

Solvability in radicals, elementary functions and monodromy/Galois groups

A Non-Trivial Algebraic Number using transcendental numbers

Maximal tamely ramified extension of $\mathbb{Q}_p$

Find minimal polynomial of $ \alpha = \zeta_5 + i \sqrt[4]{5}$ over $\mathbb {Q}$

Equivalent Splitting Fields for two polynomials

Reference-Galois Theory

Splitting field for $x^4-2\in\mathbb{Q}[x]$.

$\text{Gal}(\widetilde{K}/\mathbb{Q})$-action on embeddings of $K$ into $\overline{\mathbb{Q}}$

How can I solve, for example, $n^5-625n+1632=0$ for $n$ if it is solvable?

For the discriminant of a polynomial, how to prove $\Delta(f \bmod p) = \Delta(f) \bmod p$?

Normal Basis Theorem and Regular Representation of $S_3$

Galois theory: Permutation of zeros

Galois group of splitting field of $x^5-4x+2$ over $\mathbb{Q}$ is transitive?

Trending Questions

Popular # Hahtags

Popular Questions