Question

Is this a valid proof for the normalness of subgroups in galois theory?

score 159 · Answer 1 · 2021-05-19 07:31:02

159

Views

Is this a valid proof for the normalness of subgroups in galois theory?

Published on 19 May 2021 - 7:31

score 95 · Answer 2 · 2021-05-22 14:45:35

95

Views

Showing $\mathbb{Q}(\sqrt 2, \sqrt 3 ) = \mathbb{Q}(\sqrt 2 + \sqrt 3)$ using information about Galois group

Published on 22 May 2021 - 14:45

score 97 · Answer 3 · 2026-02-23 21:16:59

97

Views

Theorem 17.22 from Ian Stewart's Galois Theory

Published on 23 Feb 2026 - 21:16

score 128 · Answer 4 · 2026-02-23 06:20:57

128

Views

Normal closure as the compositum of conjugates

Published on 23 Feb 2026 - 6:20

score 107 · Answer 5 · 2021-05-29 14:44:32

107

Views

Prove $\operatorname{Gal}(M_3/M_1)\cong\operatorname{Gal}(M_2/(M_1\cap M_2))$

Published on 29 May 2021 - 14:44

score 160 · Answer 6 · 2021-06-02 11:24:52

160

Views

How to prove whether $i\in\mathbb{Q}(\cos\frac{2\pi}{5}+i\sin\frac{2\pi}{5})$ or not

Published on 02 Jun 2021 - 11:24

score 174 · Answer 7 · 2021-06-07 22:22:01

174

Views

Find $Gal(\mathbb{Q}(e^{2\pi i/6},e^{2\pi i / 10}) / \mathbb{Q})$

Published on 07 Jun 2021 - 22:22

score 35 · Answer 8 · 2021-06-09 16:19:53

35

Views

How to ensure the generator of Galois extenion?

Published on 09 Jun 2021 - 16:19

score 154 · Answer 9 · 2026-03-26 14:43:08

154

Views

What is $\text{Frob}\in \text{Gal}(\overline{K}/K)$?

Published on 26 Mar 2026 - 14:43

score 196 · Answer 10 · 2021-06-10 15:15:44

196

Views

Showing the extension $\mathbb{Q}(\sqrt[6]{-3})/\mathbb{Q}$ is Galois and determining its Galois group.

Published on 10 Jun 2021 - 15:15

score 291 · Answer 11 · 2021-06-11 07:26:30

291

Views

Is $\mathbb{Q}(\cos\frac{2\pi}{13})/\mathbb{Q}$ a Galois extension?

Published on 11 Jun 2021 - 7:26

score 392 · Answer 12 · 2021-06-14 21:08:44

392

Views

Is the extension of a perfect field by one of its algebraic closures always a Galois extension?

Published on 14 Jun 2021 - 21:08

score 814 · Answer 13 · 2021-06-20 17:39:26

814

Views

Finite Galois group of Galois extension implies that the extension is finite?

Published on 20 Jun 2021 - 17:39

score 242 · Answer 14 · 2021-06-21 08:14:45

242

Views

Adding finite list of square roots of primes to $\mathbb{Q}$

Published on 21 Jun 2021 - 8:14

score 191 · Answer 15 · 2021-06-27 08:47:58

191

Views

$K$ be a finite extension of $\mathbb Q$ then there exists a finite extension $E$ over $K$ such that $E/K$ is not normal.

Published on 27 Jun 2021 - 8:47

List Question

Is this a valid proof for the normalness of subgroups in galois theory?

Showing $\mathbb{Q}(\sqrt 2, \sqrt 3 ) = \mathbb{Q}(\sqrt 2 + \sqrt 3)$ using information about Galois group

Theorem 17.22 from Ian Stewart's Galois Theory

Normal closure as the compositum of conjugates

Prove $\operatorname{Gal}(M_3/M_1)\cong\operatorname{Gal}(M_2/(M_1\cap M_2))$

How to prove whether $i\in\mathbb{Q}(\cos\frac{2\pi}{5}+i\sin\frac{2\pi}{5})$ or not

Find $Gal(\mathbb{Q}(e^{2\pi i/6},e^{2\pi i / 10}) / \mathbb{Q})$

How to ensure the generator of Galois extenion?

What is $\text{Frob}\in \text{Gal}(\overline{K}/K)$?

Showing the extension $\mathbb{Q}(\sqrt[6]{-3})/\mathbb{Q}$ is Galois and determining its Galois group.

Is $\mathbb{Q}(\cos\frac{2\pi}{13})/\mathbb{Q}$ a Galois extension?

Is the extension of a perfect field by one of its algebraic closures always a Galois extension?

Finite Galois group of Galois extension implies that the extension is finite?

Adding finite list of square roots of primes to $\mathbb{Q}$

$K$ be a finite extension of $\mathbb Q$ then there exists a finite extension $E$ over $K$ such that $E/K$ is not normal.

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