Question

On the solvability with radicals of a 4th degree polynomial

score 256 · Answer 1 · 2026-04-01 18:09:54

256

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On the solvability with radicals of a 4th degree polynomial

Published on 01 Apr 2026 - 18:09

score 176 · Answer 2 · 2026-04-04 02:18:47

176

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Field Extension of $\mathbb{R}\left(x+\frac{1}{x}\right)$

Published on 04 Apr 2026 - 2:18

score 74 · Answer 3 · 2026-04-04 02:17:48

74

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$[\mathbb{Q}(\omega \cdot 2^{\frac{1}{3}}) : \mathbb{Q}] = 3$ and $[\mathbb{Q}(\sqrt{2}) : \mathbb{Q}] = 2$

Published on 04 Apr 2026 - 2:17

score 53 · Answer 4 · 2020-01-24 21:49:56

53

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Lowest technology method to prove fundamental theory of galois theory in characteristic zero?

Published on 24 Jan 2020 - 21:49

score 29 · Answer 5 · 2026-03-26 11:24:16

29

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Understanding morphism extensions theorem

Published on 26 Mar 2026 - 11:24

score 123 · Answer 6 · 2020-01-26 19:56:42

123

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Is $ K(t)/K(t^3)$ Galois?

Published on 26 Jan 2020 - 19:56

score 28 · Answer 7 · 2020-01-26 20:25:26

$\text{Gal}(E_{1}*...*E_{n}/K)$ is cyclic of degree $p_{1}*...*p_{n}$ for compositum $E_{1}*...*E_{n}$ of intermediate fields with $[E_{i}:K]=p_{i}$

score 241 · Answer 8 · 2026-03-25 06:29:18

241

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Find all the fixed subfield of $Gal(\mathbb{Q}(\zeta_{40})/\mathbb{Q})$

Published on 25 Mar 2026 - 6:29

score 67 · Answer 9 · 2026-04-04 03:52:50

67

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Calculate $\mathbb{Q(\alpha)} / \mathbb{Q(\alpha^3)}$ where $\alpha$ is transcendental over $\mathbb{Q}$

Published on 04 Apr 2026 - 3:52

score 52 · Answer 10 · 2026-03-26 14:29:27

52

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Understanding cyclotomic extensions: $\mathbb{Q}\subseteq \mathbb{Q}(\xi)$, where $\xi = e^{\frac{2\pi i}{3}}$.

Published on 26 Mar 2026 - 14:29

score 58 · Answer 11 · 2026-03-28 11:13:33

58

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Find the lattice of intermediate subgroups of a Galois group.

Published on 28 Mar 2026 - 11:13

score 197 · Answer 12 · 2026-03-26 14:32:01

197

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Splitting field and Galois group of $(x^5-1)(x^2+1)$ over $\mathbb{Q}$

Published on 26 Mar 2026 - 14:32

score 68 · Answer 13 · 2026-03-26 14:29:31

68

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Splitting Field and its Galois Group

Published on 26 Mar 2026 - 14:29

score 96 · Answer 14 · 2020-01-28 19:17:35

96

Views

Question about subgroups of $\mathrm{Gal}(L/K)\simeq \mathbb{Z}/4\mathbb{Z}$

Published on 28 Jan 2020 - 19:17

score 170 · Answer 15 · 2026-03-26 21:26:18

170

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Distribution of inverse of a random upper triangular invertible matrix over GF(2)

Published on 26 Mar 2026 - 21:26

List Question

On the solvability with radicals of a 4th degree polynomial

Field Extension of $\mathbb{R}\left(x+\frac{1}{x}\right)$

$[\mathbb{Q}(\omega \cdot 2^{\frac{1}{3}}) : \mathbb{Q}] = 3$ and $[\mathbb{Q}(\sqrt{2}) : \mathbb{Q}] = 2$

Lowest technology method to prove fundamental theory of galois theory in characteristic zero?

Understanding morphism extensions theorem

Is $ K(t)/K(t^3)$ Galois?

$\text{Gal}(E_{1}...E_{n}/K)$ is cyclic of degree $p_{1}...p_{n}$ for compositum $E_{1}...E_{n}$ of intermediate fields with $[E_{i}:K]=p_{i}$

Find all the fixed subfield of $Gal(\mathbb{Q}(\zeta_{40})/\mathbb{Q})$

Calculate $\mathbb{Q(\alpha)} / \mathbb{Q(\alpha^3)}$ where $\alpha$ is transcendental over $\mathbb{Q}$

Understanding cyclotomic extensions: $\mathbb{Q}\subseteq \mathbb{Q}(\xi)$, where $\xi = e^{\frac{2\pi i}{3}}$.

Find the lattice of intermediate subgroups of a Galois group.

Splitting field and Galois group of $(x^5-1)(x^2+1)$ over $\mathbb{Q}$

Splitting Field and its Galois Group

Question about subgroups of $\mathrm{Gal}(L/K)\simeq \mathbb{Z}/4\mathbb{Z}$

Distribution of inverse of a random upper triangular invertible matrix over GF(2)

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