List questions from galois-theory

Published on 10 Oct 2014 - 7:24

389

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Deriving the Resolvent Cubic From Elementary Symmetric Functions

Published on 01 Apr 2026 - 4:17

62

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Let $G = \text {Gal}(L/K)$. How do I see that $\phi \in G$ is completely determined by $\phi\mathbb( \sqrt[4] {3})$ and $\phi(i)$?

Published on 12 Oct 2014 - 8:45

1.2k

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Non-Galois number fields and complex embeddings

Published on 13 Oct 2014 - 20:42

238

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Determining if an extension is a normal extension [MORANDI'S BOOK]

Published on 14 Oct 2014 - 2:15

137

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$5|\#\text{Gal}(f/\mathbb{Q})\subset S_5 \implies \text{Gal}(f/\mathbb{Q})$ contains a $5$-cycle?

Published on 14 Oct 2014 - 5:05

70

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Field extensions and irreducibility

Published on 28 Mar 2026 - 7:57

771

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On a Proof in Galois Theory

Published on 02 Apr 2026 - 14:18

244

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Galois subextensions in a Galois extension

Published on 15 Oct 2014 - 4:33

985

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Irreducible factors of a polynomial in a Galois extension

Published on 15 Oct 2014 - 5:22

174

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Some Galois theory

Published on 15 Oct 2014 - 10:06

1.8k

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Intermediate fields of Gal($x^5-2$, $\mathbb{Q}$)

Published on 15 Oct 2014 - 12:22

1.9k

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Calculate the degree of the field extensions.

Published on 28 Mar 2026 - 7:51

152

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Calculating a minimal polynomial over $\mathbb{Q}(\sqrt[3]{2})$

Published on 15 Oct 2014 - 18:55

691

Views

Reference request: Galois descent

Published on 15 Oct 2014 - 23:00

List Question

relation between the characteristic polynomial and the minimal polynomial

Deriving the Resolvent Cubic From Elementary Symmetric Functions

Let $G = \text {Gal}(L/K)$. How do I see that $\phi \in G$ is completely determined by $\phi\mathbb( \sqrt[4] {3})$ and $\phi(i)$?

Non-Galois number fields and complex embeddings

Determining if an extension is a normal extension [MORANDI'S BOOK]

$5|\#\text{Gal}(f/\mathbb{Q})\subset S_5 \implies \text{Gal}(f/\mathbb{Q})$ contains a $5$-cycle?

Field extensions and irreducibility

On a Proof in Galois Theory

Galois subextensions in a Galois extension

Irreducible factors of a polynomial in a Galois extension

Some Galois theory

Intermediate fields of Gal($x^5-2$, $\mathbb{Q}$)

Calculate the degree of the field extensions.

Calculating a minimal polynomial over $\mathbb{Q}(\sqrt[3]{2})$

Reference request: Galois descent

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