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Finding Galois group of $x^6 - 3x^3 + 2$

score 949 · Answer 1 · 2026-04-03 05:34:18

949

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Finding Galois group of $x^6 - 3x^3 + 2$

Published on 03 Apr 2026 - 5:34

score 118 · Answer 2 · 2026-03-26 12:40:28

118

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Algebraic number of degree four that cannot be constructed with ruler and compass

Published on 26 Mar 2026 - 12:40

score 2.2k · Answer 3 · 2014-12-26 01:48:53

2.2k

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Galois group of $x^8-2$ and intermediate fields

Published on 26 Dec 2014 - 1:48

score 148 · Answer 4 · 2014-12-26 12:20:15

148

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What are the intermediate fields of $\mathbb Q(\sqrt[3]2,e^{\frac{2i\pi}{3}})$ (Galois group)

Published on 26 Dec 2014 - 12:20

score 480 · Answer 5 · 2026-03-31 21:15:09

480

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Dummit and Foote page 591

Published on 31 Mar 2026 - 21:15

score 223 · Answer 6 · 2014-12-26 20:15:36

223

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Finding a Galois group using a cubic resolvent

Published on 26 Dec 2014 - 20:15

score 263 · Answer 7 · 2014-12-28 13:32:54

Determine the subgroup of the Galois group of $\mathbb Q[i\sqrt 3]$ and $E$ the splitting field of $(t^3-2)(t^3-5)$

score 811 · Answer 8 · 2014-12-30 00:03:05

811

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Degree of an irreducible polynomial over a field which has a Galois group isomorphic to $ Q_8 $

Published on 30 Dec 2014 - 0:03

score 182 · Answer 9 · 2014-12-30 08:46:57

182

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How to find algebraic connections between zeros of a polynomial?

Published on 30 Dec 2014 - 8:46

score 977 · Answer 10 · 2014-12-30 10:10:20

977

Views

reducing depressed quartic to cubic polynomial

Published on 30 Dec 2014 - 10:10

score 972 · Answer 11 · 2026-03-31 21:21:04

972

Views

Galois group of $x^5 + x^2 + 1$ over the field $\mathbb{F}_{2}$

Published on 31 Mar 2026 - 21:21

score 220 · Answer 12 · 2014-12-31 11:14:18

220

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A book for advanced field theory

Published on 31 Dec 2014 - 11:14

score 118 · Answer 13 · 2019-10-02 09:33:30

118

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Galois theory over a multivariate polynomial ring over a field

Published on 02 Oct 2019 - 9:33

score 33 · Answer 14 · 2019-10-02 23:16:07

33

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Reducing $x^{p-1}$ mod $p$

Published on 02 Oct 2019 - 23:16

score 46 · Answer 15 · 2019-10-05 13:48:47

46

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Show that the distinct elements of $\{ \sigma (\alpha) \mid \sigma \in Gal(L/F) \}$ occur in equal numbers.

Published on 05 Oct 2019 - 13:48

List Question

Finding Galois group of $x^6 - 3x^3 + 2$

Algebraic number of degree four that cannot be constructed with ruler and compass

Galois group of $x^8-2$ and intermediate fields

What are the intermediate fields of $\mathbb Q(\sqrt[3]2,e^{\frac{2i\pi}{3}})$ (Galois group)

Dummit and Foote page 591

Finding a Galois group using a cubic resolvent

Determine the subgroup of the Galois group of $\mathbb Q[i\sqrt 3]$ and $E$ the splitting field of $(t^3-2)(t^3-5)$

Degree of an irreducible polynomial over a field which has a Galois group isomorphic to $ Q_8 $

How to find algebraic connections between zeros of a polynomial?

reducing depressed quartic to cubic polynomial

Galois group of $x^5 + x^2 + 1$ over the field $\mathbb{F}_{2}$

A book for advanced field theory

Galois theory over a multivariate polynomial ring over a field

Reducing $x^{p-1}$ mod $p$

Show that the distinct elements of $\{ \sigma (\alpha) \mid \sigma \in Gal(L/F) \}$ occur in equal numbers.

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