Question

A question on the definition of splitting field

score 594 · Answer 1 · 2026-03-25 11:25:59

594

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A question on the definition of splitting field

Published on 25 Mar 2026 - 11:25

score 28 · Answer 2 · 2026-03-25 06:07:01

28

Views

If we have the fixed field $K^H$ and we consider the orbit of an element $\beta_1$, is there an associated group action?

Published on 25 Mar 2026 - 6:07

score 552 · Answer 3 · 2026-03-27 03:46:10

552

Views

finite Galois extension question

Published on 27 Mar 2026 - 3:46

score 451 · Answer 4 · 2026-03-25 13:57:06

451

Views

How to determine whether the images of two real embeddings of a number field are equal?

Published on 25 Mar 2026 - 13:57

score 91 · Answer 5 · 2026-03-25 13:58:09

91

Views

Let $K$ be an extension of $F$. When is $ \operatorname{Aut}(K)= \operatorname{Gal}(K/F)$?

Published on 25 Mar 2026 - 13:58

score 254 · Answer 6 · 2026-03-22 16:23:52

254

Views

computer program-software for galois

Published on 22 Mar 2026 - 16:23

score 311 · Answer 7 · 2018-04-18 18:00:54

311

Views

Galois group of quartic with only complex roots

Published on 18 Apr 2018 - 18:00

score 27 · Answer 8 · 2018-04-18 18:47:40

27

Views

Isomorphisms between Alternating groups and modulo groups

Published on 18 Apr 2018 - 18:47

score 39 · Answer 9 · 2018-04-18 19:53:59

39

Views

Is the Galois Group of $f(x) = g(x)h(x)$ the product of the Galois groups of $g(x) \text{and } h(x)$?

Published on 18 Apr 2018 - 19:53

score 77 · Answer 10 · 2018-04-18 21:26:23

77

Views

Degree of Galois extension of a real subfield $F$ contained in a radical extension, $F(\sqrt[n]{a})$

Published on 18 Apr 2018 - 21:26

score 216 · Answer 11 · 2018-04-19 00:04:50

216

Views

Finding number fields with certain decomposition group?

Published on 19 Apr 2018 - 0:04

score 62 · Answer 12 · 2026-03-22 23:47:56

62

Views

Intermediate Fields and Root Fields

Published on 22 Mar 2026 - 23:47

score 189 · Answer 13 · 2026-03-24 17:30:11

189

Views

Adjoining square root of a discriminant

Published on 24 Mar 2026 - 17:30

score 90 · Answer 14 · 2018-04-20 00:12:16

90

Views

Showing gal$(\mathbb{Q}(u): \mathbb{Q}) $ is isomorphic to a particular cyclic group

Published on 20 Apr 2018 - 0:12

score 41 · Answer 15 · 2026-03-25 01:18:55

41

Views

Let $K \prec F$ and $\tau : F \rightarrow$ is a homomorphism where $\tau(u) = u \forall u\in K$ then $\tau \in \text{Gal}_K F$

Published on 25 Mar 2026 - 1:18

List Question

A question on the definition of splitting field

If we have the fixed field $K^H$ and we consider the orbit of an element $\beta_1$, is there an associated group action?

finite Galois extension question

How to determine whether the images of two real embeddings of a number field are equal?

Let $K$ be an extension of $F$. When is $ \operatorname{Aut}(K)= \operatorname{Gal}(K/F)$?

computer program-software for galois

Galois group of quartic with only complex roots

Isomorphisms between Alternating groups and modulo groups

Is the Galois Group of $f(x) = g(x)h(x)$ the product of the Galois groups of $g(x) \text{and } h(x)$?

Degree of Galois extension of a real subfield $F$ contained in a radical extension, $F(\sqrt[n]{a})$

Finding number fields with certain decomposition group?

Intermediate Fields and Root Fields

Adjoining square root of a discriminant

Showing gal$(\mathbb{Q}(u): \mathbb{Q}) $ is isomorphic to a particular cyclic group

Let $K \prec F$ and $\tau : F \rightarrow$ is a homomorphism where $\tau(u) = u \forall u\in K$ then $\tau \in \text{Gal}_K F$

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