List questions from extension-field

730

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Galois extension of $\mathbb{Q}$ with Galois group $\mathbb{Z}/4\mathbb{Z}$ that contains $\mathbb{Q}(\sqrt{3})$?

Published on 18 Jan 2015 - 2:25

124

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Extension Fields, complex numbers.

Published on 08 Apr 2026 - 16:28

223

Views

Galois-theory - a question about the galois group

Published on 08 Apr 2026 - 18:13

1k

Views

Mistake in proof that a polynomial $f$ irreducible in $F$ is irreducible in $E$ if $\gcd(\deg f, [E:F])=1$

Published on 19 Jan 2015 - 16:34

381

Views

Splitting field and Galois group of a quintic polynomial over $\mathbb{Q}$

Published on 19 Jan 2015 - 22:18

114

Views

homomorphisms of field extension

Published on 20 Jan 2015 - 17:30

1.7k

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The Kahler differential is zero

Published on 26 Mar 2026 - 16:08

474

Views

proof factoring of $x^n-1$

Published on 06 Apr 2026 - 2:53

521

Views

Writing elements of field extension in terms of the basis determined by a root of a polynomial

Published on 21 Jan 2015 - 13:03

511

Views

Roots of unity in splitting field of all polynomials of given degree

Published on 23 Jan 2015 - 11:49

391

Views

Galois theory with the extension $\mathbb Q(\alpha)/\mathbb Q$

Published on 27 Mar 2026 - 18:36

479

Views

Prove generalisation of the Tower Law

Published on 24 Jan 2015 - 10:43

293

Views

Proposition about of Purely inseparable extension

Published on 07 Apr 2026 - 17:38

206

Views

Computing a Galois group

Published on 25 Jan 2015 - 9:21

174

Views

How to show the isomorphism

Published on 09 Apr 2026 - 1:39

List Question

Galois extension of $\mathbb{Q}$ with Galois group $\mathbb{Z}/4\mathbb{Z}$ that contains $\mathbb{Q}(\sqrt{3})$?

Extension Fields, complex numbers.

Galois-theory - a question about the galois group

Mistake in proof that a polynomial $f$ irreducible in $F$ is irreducible in $E$ if $\gcd(\deg f, [E:F])=1$

Splitting field and Galois group of a quintic polynomial over $\mathbb{Q}$

homomorphisms of field extension

The Kahler differential is zero

proof factoring of $x^n-1$

Writing elements of field extension in terms of the basis determined by a root of a polynomial

Roots of unity in splitting field of all polynomials of given degree

Galois theory with the extension $\mathbb Q(\alpha)/\mathbb Q$

Prove generalisation of the Tower Law

Proposition about of Purely inseparable extension

Computing a Galois group

How to show the isomorphism

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