Question

Compute degree and Galois group of a Galois extension

score 319 · Answer 1 · 2026-04-03 00:54:06

319

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Compute degree and Galois group of a Galois extension

Published on 03 Apr 2026 - 0:54

score 314 · Answer 2 · 2026-04-03 00:55:40

314

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Intermediate field extensions and Degree of field extension

Published on 03 Apr 2026 - 0:55

score 311 · Answer 3 · 2014-11-28 00:40:45

Let $K = \mathbb{Z_p(t)}$ be the field of rational functions and let $f(x) = x^p - x - t \in K[x]$ and let $E/K$ be the splitting field of $f(x)$.

score 149 · Answer 4 · 2014-11-28 01:25:06

149

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Calculating $Aut(\mathbb{Q}(\sqrt[3]{2}/\mathbb{Q}(\zeta))$

Published on 28 Nov 2014 - 1:25

score 832 · Answer 5 · 2026-04-03 00:51:10

832

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Galois field extension and number of intermediate fields

Published on 03 Apr 2026 - 0:51

score 91 · Answer 6 · 2014-11-28 14:27:18

91

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Compute Galois group of these extensions.

Published on 28 Nov 2014 - 14:27

score 79 · Answer 7 · 2026-04-03 00:55:40

79

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Calculating the degree of $[\mathbb Q(\sqrt[n]{m}):\mathbb Q]$

Published on 03 Apr 2026 - 0:55

score 127 · Answer 8 · 2014-11-29 14:51:55

127

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How can I compute the galois group $\text{Gal}(K[\sqrt[n] X]/K)$?

Published on 29 Nov 2014 - 14:51

score 175 · Answer 9 · 2026-04-03 00:49:54

175

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How can you write $\mathbb{Q}[\sqrt[3]{2},\omega_3]$ using a single algebraic element $\mathbb{Q}[\alpha]$?

Published on 03 Apr 2026 - 0:49

score 89 · Answer 10 · 2026-04-03 00:55:45

89

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Calculate the degree of $[\mathbb Q(a):\mathbb Q]$

Published on 03 Apr 2026 - 0:55

score 177 · Answer 11 · 2026-03-25 01:27:56

177

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Unramified Galois extension of a function field of a curve - definition

Published on 25 Mar 2026 - 1:27

score 324 · Answer 12 · 2026-03-26 19:17:19

324

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Finding polynomial with Galois group $S_n$.

Published on 26 Mar 2026 - 19:17

score 77 · Answer 13 · 2026-04-03 02:15:07

77

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Reducing a sum of products of primitive nth roots

Published on 03 Apr 2026 - 2:15

score 124 · Answer 14 · 2026-03-31 17:49:15

124

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Which Galois Field is isomorphic to this extension?

Published on 31 Mar 2026 - 17:49

score 616 · Answer 15 · 2014-12-06 16:34:44

616

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Alternating groups as galois groups

Published on 06 Dec 2014 - 16:34

List Question

Compute degree and Galois group of a Galois extension

Intermediate field extensions and Degree of field extension

Let $K = \mathbb{Z_p(t)}$ be the field of rational functions and let $f(x) = x^p - x - t \in K[x]$ and let $E/K$ be the splitting field of $f(x)$.

Calculating $Aut(\mathbb{Q}(\sqrt[3]{2}/\mathbb{Q}(\zeta))$

Galois field extension and number of intermediate fields

Compute Galois group of these extensions.

Calculating the degree of $[\mathbb Q(\sqrt[n]{m}):\mathbb Q]$

How can I compute the galois group $\text{Gal}(K[\sqrt[n] X]/K)$?

How can you write $\mathbb{Q}[\sqrt[3]{2},\omega_3]$ using a single algebraic element $\mathbb{Q}[\alpha]$?

Calculate the degree of $[\mathbb Q(a):\mathbb Q]$

Unramified Galois extension of a function field of a curve - definition

Finding polynomial with Galois group $S_n$.

Reducing a sum of products of primitive nth roots

Which Galois Field is isomorphic to this extension?

Alternating groups as galois groups

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