Question

$3^{1/7}\notin \Bbb{Q} (2^{1/7})$.

score 280 · Answer 1 · 2019-05-04 15:37:56

280

Views

$3^{1/7}\notin \Bbb{Q} (2^{1/7})$.

Published on 04 May 2019 - 15:37

score 69 · Answer 2 · 2026-03-25 03:04:00

69

Views

Galois group of $\overline{F}/F$

Published on 25 Mar 2026 - 3:04

score 310 · Answer 3 · 2026-03-31 17:01:23

310

Views

Find the Addition and Multiplication tables for GF(7)

Published on 31 Mar 2026 - 17:01

score 58 · Answer 4 · 2026-03-28 01:02:52

58

Views

Show that if Gal$\left(K/F\right)$ is a non-trivial $2$-group, then there is a quadratic extension of $F$ contained in $K$.

Published on 28 Mar 2026 - 1:02

score 298 · Answer 5 · 2026-03-29 03:36:41

298

Views

Degree of a splitting field of an irreducible polynomial over $\mathbb{F}_p$

Published on 29 Mar 2026 - 3:36

score 65 · Answer 6 · 2019-05-08 00:13:51

$E/F, K/F$ fields with $E\cap K = F$, $E/F$ Galois, $\alpha \in K$ with min poly $f(x) \in F[x]$ then $f$ irreducible over $E$.

score 268 · Answer 7 · 2019-05-08 06:48:43

268

Views

For a field $F$ if $x$ is transcendental over $F$ then how do we show $\sqrt{x} \notin F(x)$?

Published on 08 May 2019 - 6:48

score 134 · Answer 8 · 2026-03-31 18:41:08

134

Views

A problem from Hungerford(galois theory)

Published on 31 Mar 2026 - 18:41

score 350 · Answer 9 · 2026-03-26 02:58:30

350

Views

Does this Galois group determine the class ideal class group?

Published on 26 Mar 2026 - 2:58

score 218 · Answer 10 · 2019-05-08 15:13:41

218

Views

How to Determine Generators and Relations of Galois group of $X^7-2$

Published on 08 May 2019 - 15:13

score 227 · Answer 11 · 2026-03-29 02:37:03

227

Views

Proving an isomorphism of Galois group

Published on 29 Mar 2026 - 2:37

score 195 · Answer 12 · 2019-05-10 19:32:33

195

Views

Constructibility of an inscribed square using Galois Theory

Published on 10 May 2019 - 19:32

score 50 · Answer 13 · 2026-03-25 11:03:47

50

Views

Understanding surjectivity of $G_{\mathfrak{P}}\to G(\kappa(\mathfrak{P})\mid \kappa(\mathfrak{p}))$

Published on 25 Mar 2026 - 11:03

score 473 · Answer 14 · 2019-05-11 12:29:23

473

Views

Galois Theory: Quartic and Klein 4 group

Published on 11 May 2019 - 12:29

score 506 · Answer 15 · 2019-05-11 20:26:53

506

Views

Finding all the embeddings from $K=\mathbb{Q}(\sqrt{2},\sqrt{3})$ into $\mathbb{C}$ .

Published on 11 May 2019 - 20:26

List Question

$3^{1/7}\notin \Bbb{Q} (2^{1/7})$.

Galois group of $\overline{F}/F$

Find the Addition and Multiplication tables for GF(7)

Show that if Gal$\left(K/F\right)$ is a non-trivial $2$-group, then there is a quadratic extension of $F$ contained in $K$.

Degree of a splitting field of an irreducible polynomial over $\mathbb{F}_p$

$E/F, K/F$ fields with $E\cap K = F$, $E/F$ Galois, $\alpha \in K$ with min poly $f(x) \in F[x]$ then $f$ irreducible over $E$.

For a field $F$ if $x$ is transcendental over $F$ then how do we show $\sqrt{x} \notin F(x)$?

A problem from Hungerford(galois theory)

Does this Galois group determine the class ideal class group?

How to Determine Generators and Relations of Galois group of $X^7-2$

Proving an isomorphism of Galois group

Constructibility of an inscribed square using Galois Theory

Understanding surjectivity of $G_{\mathfrak{P}}\to G(\kappa(\mathfrak{P})\mid \kappa(\mathfrak{p}))$

Galois Theory: Quartic and Klein 4 group

Finding all the embeddings from $K=\mathbb{Q}(\sqrt{2},\sqrt{3})$ into $\mathbb{C}$ .

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