List questions from galois-theory

Published on 25 Mar 2026 - 14:00

611

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Galois group of $K/\mathbb{Q}$ where $K $ is splitting field of $x^{12} -3 $

Published on 02 Sep 2018 - 21:23

291

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Showing that in a field $F$ of characteristic not 2 or 3, we have $F(\alpha_1,\alpha_2, \alpha_3) = F(\alpha_1 - \alpha_2)$

Published on 03 Sep 2018 - 0:41

397

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Irreducibility Over the Rationals (Still Lacking Extra Condition)

Published on 25 Mar 2026 - 17:36

188

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Finite-Galois-theoretic characterization of formally real fields?

Published on 05 Sep 2018 - 21:27

317

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Inverse Galois problem

Published on 25 Mar 2026 - 7:38

51

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reverse Galois?

Published on 07 Sep 2018 - 16:41

253

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Is the Intertia subgroup the whole Galois group if our finite extension of local fields is totally ramified?

Published on 25 Mar 2026 - 3:04

56

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Question on splitting fields.

Published on 25 Mar 2026 - 16:20

136

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Splitting field of $f(x) :=x^3+3x^2+3x-4$ over $\Bbb{Q}$ and $\Bbb{Z}_3$.

Published on 25 Mar 2026 - 16:13

257

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Algebraic geometry over general fields via Galois theory

Published on 25 Mar 2026 - 3:00

44

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Splitting Field and Irreducibility

Published on 15 Sep 2018 - 11:33

297

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Minimal polynomial and splitting field

Published on 15 Sep 2018 - 15:28

409

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Degree of splitting field over F and irreducible polynomial

Published on 16 Sep 2018 - 0:05

92

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$\mathbb{Q}(\sqrt{a+bi})=\mathbb{Q}(\sqrt{a-bi})$?

Published on 16 Sep 2018 - 15:59

List Question

Example of when $E^{H} \neq E^{\text{Aut}(E/E^H)}$?

Galois group of $K/\mathbb{Q}$ where $K $ is splitting field of $x^{12} -3 $

Showing that in a field $F$ of characteristic not 2 or 3, we have $F(\alpha_1,\alpha_2, \alpha_3) = F(\alpha_1 - \alpha_2)$

Irreducibility Over the Rationals (Still Lacking Extra Condition)

Finite-Galois-theoretic characterization of formally real fields?

Inverse Galois problem

reverse Galois?

Is the Intertia subgroup the whole Galois group if our finite extension of local fields is totally ramified?

Question on splitting fields.

Splitting field of $f(x) :=x^3+3x^2+3x-4$ over $\Bbb{Q}$ and $\Bbb{Z}_3$.

Algebraic geometry over general fields via Galois theory

Splitting Field and Irreducibility

Minimal polynomial and splitting field

Degree of splitting field over F and irreducible polynomial

$\mathbb{Q}(\sqrt{a+bi})=\mathbb{Q}(\sqrt{a-bi})$?

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