Question

Minimal Galois extension, describe structure of $Gal(L/\mathbb Q)$

score 343 · Answer 1 · 2016-01-25 19:32:13

343

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Minimal Galois extension, describe structure of $Gal(L/\mathbb Q)$

Published on 25 Jan 2016 - 19:32

score 184 · Answer 2 · 2026-03-27 03:43:38

184

Views

Splitting field.

Published on 27 Mar 2026 - 3:43

score 88 · Answer 3 · 2016-01-29 17:27:35

88

Views

Proof of equality of $2$ polynomials without using Galois Theory?

Published on 29 Jan 2016 - 17:27

score 177 · Answer 4 · 2016-01-30 19:01:28

177

Views

Does the splitting field of an irreducible polynomial contain all extensions over which the polynomial factors?

Published on 30 Jan 2016 - 19:01

score 67 · Answer 5 · 2016-02-03 00:15:20

67

Views

Splitting field of a polynomial has a solvable group of automorphisms

Published on 03 Feb 2016 - 0:15

score 180 · Answer 6 · 2026-03-26 19:05:03

180

Views

Regarding the number of isomorphisms between splitting fields

Published on 26 Mar 2026 - 19:05

score 1.7k · Answer 7 · 2016-02-14 13:38:45

1.7k

Views

Geometric interpretation of different types of field extensions?

Published on 14 Feb 2016 - 13:38

score 58 · Answer 8 · 2016-02-16 08:33:29

58

Views

Trying to Understand Splitting Fields

Published on 16 Feb 2016 - 8:33

score 268 · Answer 9 · 2016-02-19 06:06:30

268

Views

If $E$ is the Splitting Field for an Irreducible Separable Polynomial over $F$ then $[E:F]=\text{Aut}(E:F)$

Published on 19 Feb 2016 - 6:06

score 36 · Answer 10 · 2026-03-26 12:26:17

36

Views

Is $K=\overline{\Bbb Q}$?

Published on 26 Mar 2026 - 12:26

score 141 · Answer 11 · 2016-02-26 08:28:18

141

Views

How can we show that all the roots of some irreducible polynomial are not of algebraically equal status?

Published on 26 Feb 2016 - 8:28

score 252 · Answer 12 · 2016-03-05 22:53:33

252

Views

Extending a monomorphism $K \to E$ to an automorphism of $E$

Published on 05 Mar 2016 - 22:53

score 721 · Answer 13 · 2016-03-10 15:38:10

721

Views

Degree of the splitting field of an irreducible polynomial of degree three

Published on 10 Mar 2016 - 15:38

score 665 · Answer 14 · 2016-03-15 21:12:52

665

Views

Proof that splitting field of polynomial ring is algebraically closed

Published on 15 Mar 2016 - 21:12

score 1.1k · Answer 15 · 2016-03-16 20:50:06

1.1k

Views

$\mathbb{C}$ is not the splitting field of any polynomial over $\mathbb{Q}$ (without cardinality)

Published on 16 Mar 2016 - 20:50

List Question

Minimal Galois extension, describe structure of $Gal(L/\mathbb Q)$

Splitting field.

Proof of equality of $2$ polynomials without using Galois Theory?

Does the splitting field of an irreducible polynomial contain all extensions over which the polynomial factors?

Splitting field of a polynomial has a solvable group of automorphisms

Regarding the number of isomorphisms between splitting fields

Geometric interpretation of different types of field extensions?

Trying to Understand Splitting Fields

If $E$ is the Splitting Field for an Irreducible Separable Polynomial over $F$ then $[E:F]=\text{Aut}(E:F)$

Is $K=\overline{\Bbb Q}$?

How can we show that all the roots of some irreducible polynomial are not of algebraically equal status?

Extending a monomorphism $K \to E$ to an automorphism of $E$

Degree of the splitting field of an irreducible polynomial of degree three

Proof that splitting field of polynomial ring is algebraically closed

$\mathbb{C}$ is not the splitting field of any polynomial over $\mathbb{Q}$ (without cardinality)

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