List questions from field-theory

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Ruler and compass construction field extension

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Algebraic Field Extension of Finite Field

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

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What is the algebraic closure of $\mathbb{Q}$?

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Polynomials: gaining irreducibility by adding a constant

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Existentially closed Field property

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Prove that a set is a subfield

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What is the automorphism group $Aut_{\mathbb{Q}} \mathbb{Q}(\sqrt{3}+\sqrt{2})$?

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Subrings of F(t)

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Alternate definition of fields

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What can the additive group of a field look like?

Published on 08 Feb 2018 - 0:01

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Explanation of two things regarding $\Bbb{F}_{p^r}$ and $\Bbb Q_p$

Published on 25 Mar 2026 - 9:16

159

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Proving the tower law through an inductive proof

Published on 25 Mar 2026 - 1:21

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Common root of homogenous polynomials

Published on 08 Feb 2018 - 2:51

List Question

Structure of the multiplicative group of a finite field

Ruler and compass construction field extension

Algebraic Field Extension of Finite Field

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

What is the algebraic closure of $\mathbb{Q}$?

Polynomials: gaining irreducibility by adding a constant

Existentially closed Field property

Prove that a set is a subfield

What is the automorphism group $Aut_{\mathbb{Q}} \mathbb{Q}(\sqrt{3}+\sqrt{2})$?

Subrings of F(t)

Alternate definition of fields

What can the additive group of a field look like?

Explanation of two things regarding $\Bbb{F}_{p^r}$ and $\Bbb Q_p$

Proving the tower law through an inductive proof

Common root of homogenous polynomials

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