List questions from galois-extensions

Published on 06 Nov 2019 - 7:22

63

Views

Factorization of prime ideals in Galois closure

Published on 06 Nov 2019 - 22:40

44

Views

Degree of Galois extension $F/\mathbb{Q}$ of the splitting field $F$ of $f = X^4 - 20X^2 + 98$

Published on 27 Mar 2026 - 14:41

139

Views

Galois group of the Splitting field of $x^4-11$

Published on 17 Nov 2019 - 4:44

135

Views

Finding all the intermediate subfields

Published on 19 Nov 2019 - 16:15

94

Views

Explicit description connecting homomorphism in Galois cohomology

Published on 26 Mar 2026 - 19:11

459

Views

Finding intermediate subfields of an extension

Published on 20 Nov 2019 - 16:40

144

Views

Maximal subfields of a commutative algebra

Published on 23 Feb 2026 - 4:52

67

Views

Galois Groups vs $\mathbb{Q}(\alpha_i)$

Published on 25 Mar 2026 - 7:33

911

Views

Quadratic subfield of $\mathbb{Q}(\zeta)$

Published on 27 Mar 2026 - 14:21

627

Views

Field extension $\mathbb{Q}_p(\zeta_{p^n})/\mathbb{Q}_p$ Galois & totally ramified

Published on 25 Mar 2026 - 15:42

63

Views

Is every $\tau \in \text {Gal} \left (M|K \right ) = \sigma|_M$ for some $\sigma \in \text {Gal} \left (L|K \right )$?

Published on 25 Nov 2019 - 16:44

75

Views

Possible degrees of separable irreducible polynomials

Published on 23 Feb 2026 - 4:53

443

Views

Galois group $G_{L/K}$ of unramified extension and its residue fields

Published on 25 Mar 2026 - 15:42

61

Views

restrictions to the element $b$, such that $b=\sigma (a)$ where $\sigma$ is a generator of the Galois group

Published on 25 Mar 2026 - 11:54

List Question

If $K/k$ is a finite Galois extension with a galois abelian group, and $ L/k$ any field extension

Factorization of prime ideals in Galois closure

Degree of Galois extension $F/\mathbb{Q}$ of the splitting field $F$ of $f = X^4 - 20X^2 + 98$

Galois group of the Splitting field of $x^4-11$

Finding all the intermediate subfields

Explicit description connecting homomorphism in Galois cohomology

Finding intermediate subfields of an extension

Maximal subfields of a commutative algebra

Galois Groups vs $\mathbb{Q}(\alpha_i)$

Quadratic subfield of $\mathbb{Q}(\zeta)$

Field extension $\mathbb{Q}_p(\zeta_{p^n})/\mathbb{Q}_p$ Galois & totally ramified

Is every $\tau \in \text {Gal} \left (M|K \right ) = \sigma|_M$ for some $\sigma \in \text {Gal} \left (L|K \right )$?

Possible degrees of separable irreducible polynomials

Galois group $G_{L/K}$ of unramified extension and its residue fields

restrictions to the element $b$, such that $b=\sigma (a)$ where $\sigma$ is a generator of the Galois group

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