Question

Simple group question need help...

score 19 · Answer 1 · 2014-04-13 20:29:42

19

Views

Simple group question need help...

Published on 13 Apr 2014 - 20:29

score 751 · Answer 2 · 2026-04-01 14:46:34

751

Views

Prove that every finite group occurs as the Galois group of a field extension of the form $F(x_{1}, \dots , x_{n})/F$.

Published on 01 Apr 2026 - 14:46

score 2.2k · Answer 3 · 2026-04-01 14:43:34

2.2k

Views

So-called Artin-Schreier Extension

Published on 01 Apr 2026 - 14:43

score 345 · Answer 4 · 2014-04-14 20:16:52

345

Views

Splitting field of an irreducible polynomial of degree five $f \in \mathbb{Q}[X]$

Published on 14 Apr 2014 - 20:16

score 709 · Answer 5 · 2014-04-14 21:16:19

709

Views

Why does this method of proof for $\overline{\mathbb{F}_{p}}$ not apply for $\mathbb{F}_{p}$

Published on 14 Apr 2014 - 21:16

score 261 · Answer 6 · 2014-04-15 09:39:22

261

Views

Characterizing the Galois group using permutations of roots

Published on 15 Apr 2014 - 9:39

score 548 · Answer 7 · 2026-04-01 14:43:31

548

Views

Prove every finite extension of subfields of $\mathbb{C}$ is simple

Published on 01 Apr 2026 - 14:43

score 2.3k · Answer 8 · 2026-03-26 04:53:35

2.3k

Views

Galois group of the splitting field of $x^3-2$

Published on 26 Mar 2026 - 4:53

score 2.9k · Answer 9 · 2014-04-15 16:25:59

2.9k

Views

How to find a primitive element of $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})$ over $\mathbb{Q}$?

Published on 15 Apr 2014 - 16:25

score 85 · Answer 10 · 2014-04-17 17:34:35

85

Views

Is this theorem provable using relatively elementary number theory and abstract algebra?

Published on 17 Apr 2014 - 17:34

score 931 · Answer 11 · 2014-04-18 02:00:40

931

Views

In algebraic extension, field homomorphism induces isomorphism.

Published on 18 Apr 2014 - 2:00

score 4.6k · Answer 12 · 2026-03-30 03:52:43

4.6k

Views

Multiplying in GF(128)

Published on 30 Mar 2026 - 3:52

score 161 · Answer 13 · 2014-04-18 14:22:10

161

Views

Separable and Splitting fields

Published on 18 Apr 2014 - 14:22

score 1.8k · Answer 14 · 2014-04-18 14:26:24

1.8k

Views

Subfield of the Galois Group of $x^5 - 1$

Published on 18 Apr 2014 - 14:26

score 201 · Answer 15 · 2014-04-18 15:45:39

201

Views

Relating Galois groups related via completions

Published on 18 Apr 2014 - 15:45

List Question

Simple group question need help...

Prove that every finite group occurs as the Galois group of a field extension of the form $F(x_{1}, \dots , x_{n})/F$.

So-called Artin-Schreier Extension

Splitting field of an irreducible polynomial of degree five $f \in \mathbb{Q}[X]$

Why does this method of proof for $\overline{\mathbb{F}_{p}}$ not apply for $\mathbb{F}_{p}$

Characterizing the Galois group using permutations of roots

Prove every finite extension of subfields of $\mathbb{C}$ is simple

Galois group of the splitting field of $x^3-2$

How to find a primitive element of $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})$ over $\mathbb{Q}$?

Is this theorem provable using relatively elementary number theory and abstract algebra?

In algebraic extension, field homomorphism induces isomorphism.

Multiplying in GF(128)

Separable and Splitting fields

Subfield of the Galois Group of $x^5 - 1$

Relating Galois groups related via completions

Trending Questions

Popular # Hahtags

Popular Questions