List questions from galois-theory

Published on 02 Feb 2018 - 20:13

80

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Degree of splitting field

Published on 03 Feb 2018 - 3:32

784

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Restriction of automorphism to a fixed field an automorphism of the fixed field?

Published on 03 Feb 2018 - 11:59

244

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Is $\sqrt[6]{3} \in \mathbb{Q}(\sqrt[8]{21})$ and/or $\sqrt[4]{5} \in \mathbb{Q}(e^{\frac{2 \pi i}{25}})$?

Published on 20 Mar 2026 - 3:58

128

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$B$-admissible p-adic representations definitions and implications (Berger article)

Published on 25 Mar 2026 - 6:30

1.6k

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Monodromy representation.

Published on 20 Mar 2026 - 1:34

1.5k

Views

Algebraic Field Extension of Finite Field

Published on 25 Mar 2026 - 1:17

263

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Roots of Unity in Galois Theory

Published on 06 Feb 2018 - 23:55

259

Views

Converse to Prop. V.6.11 from Lang's Algebra: $E/k$ normal $\impliedby E^{\operatorname{Aut}(E/k)}/k $ purely inseparable?

Published on 22 Mar 2026 - 4:24

159

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Proving the tower law through an inductive proof

Published on 25 Mar 2026 - 1:21

429

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Sanity check regarding Galois group of $X^8 - 3$

Published on 10 Feb 2018 - 13:04

1.3k

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Can the angle 2π/5 be trisected using ruler and compasses?

Published on 11 Feb 2018 - 21:35

91

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$\tan(\theta) = \frac{a}{b}$ s.t. $\gcd(a,b) = 1$, $a+b$ is odd. Show $\theta$ can be trisected iff $a^2 + b^2$ is a perfect cube

Published on 12 Feb 2018 - 1:30

214

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Show that a polynomial is irreducible using Galois

Published on 25 Mar 2026 - 0:01

875

Views

Galois group of $\mathbb{Q}_{p}$ over $\mathbb{Q}$?

Published on 14 Feb 2018 - 1:05

List Question

Stabilizer of $1$ on $S_6$

Degree of splitting field

Restriction of automorphism to a fixed field an automorphism of the fixed field?

Is $\sqrt[6]{3} \in \mathbb{Q}(\sqrt[8]{21})$ and/or $\sqrt[4]{5} \in \mathbb{Q}(e^{\frac{2 \pi i}{25}})$?

$B$-admissible p-adic representations definitions and implications (Berger article)

Monodromy representation.

Algebraic Field Extension of Finite Field

Roots of Unity in Galois Theory

Converse to Prop. V.6.11 from Lang's Algebra: $E/k$ normal $\impliedby E^{\operatorname{Aut}(E/k)}/k $ purely inseparable?

Proving the tower law through an inductive proof

Sanity check regarding Galois group of $X^8 - 3$

Can the angle 2π/5 be trisected using ruler and compasses?

$\tan(\theta) = \frac{a}{b}$ s.t. $\gcd(a,b) = 1$, $a+b$ is odd. Show $\theta$ can be trisected iff $a^2 + b^2$ is a perfect cube

Show that a polynomial is irreducible using Galois

Galois group of $\mathbb{Q}_{p}$ over $\mathbb{Q}$?

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