List questions from galois-theory

Published on 17 Mar 2026 - 10:26

69

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A weird automorphism

Published on 25 Mar 2026 - 12:19

149

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$S_3$ action on the splitting field of $\mathbb{Q}[x]/(x^3 - x - 1)$

Published on 17 Mar 2026 - 0:42

216

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Question about existence of Galois extension

Published on 23 Mar 2026 - 1:54

162

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Prove that K/L is a Galois extension

Published on 20 Mar 2026 - 0:55

152

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discriminant and irreducibility of $x^p - (p+1)x - 1$

Published on 19 Mar 2026 - 18:25

303

Views

galois group of irreducible monic cubic polynomial

Published on 20 Mar 2026 - 6:11

606

Views

Proof of normal basis theorem for finite fields

Published on 17 Mar 2026 - 9:29

170

Views

Regular inverse Galois problem for Q(t)

Published on 22 Mar 2026 - 4:29

69

Views

When a certain subfield of $\mathbb{C}(x,y^2)$ is Galois

Published on 20 Mar 2026 - 10:34

48

Views

When $k(a+b,c+d)\subseteq k(a,b,c,d)$ is Galois?

Published on 20 Mar 2026 - 15:35

606

Views

Minimal polynomial of $ab$, when those of $a$ and $b$ are known

Published on 25 Mar 2026 - 3:44

194

Views

Property of Galois extension

Published on 20 Mar 2026 - 11:03

173

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The roots after constructing an extension field by Kronecker's theorem

Published on 26 Mar 2026 - 7:33

63

Views

$Ext(-,\mathbb Z)$ for profinite (Galois) groups

Published on 20 Mar 2026 - 23:56

List Question

Fixed points of automorphisms of $\mathbb{Q}(\zeta)$

A weird automorphism

$S_3$ action on the splitting field of $\mathbb{Q}[x]/(x^3 - x - 1)$

Question about existence of Galois extension

Prove that K/L is a Galois extension

discriminant and irreducibility of $x^p - (p+1)x - 1$

galois group of irreducible monic cubic polynomial

Proof of normal basis theorem for finite fields

Regular inverse Galois problem for Q(t)

When a certain subfield of $\mathbb{C}(x,y^2)$ is Galois

When $k(a+b,c+d)\subseteq k(a,b,c,d)$ is Galois?

Minimal polynomial of $ab$, when those of $a$ and $b$ are known

Property of Galois extension

The roots after constructing an extension field by Kronecker's theorem

$Ext(-,\mathbb Z)$ for profinite (Galois) groups

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