List questions from galois-theory

Published on 25 Mar 2026 - 20:57

231

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Embedding quadratic fields into cyclic extension

Published on 27 Mar 2018 - 11:18

156

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Infinite Galois theory and $ \mathbb{N}^{ \mathbb{N}} $.

Published on 24 Mar 2026 - 23:44

466

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Given a galois group find the polynomial

Published on 25 Mar 2026 - 14:56

455

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Number of elements of a splitting field

Published on 27 Mar 2018 - 12:28

153

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confused about $\Bbb F_3(\alpha) \cong \Bbb F_3/\langle x^3+2x+2\rangle$

Published on 25 Mar 2026 - 9:27

84

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What is $(x^7-x)mod(x^6-3)$ equal to?

Published on 25 Mar 2026 - 3:22

140

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Find a splitting field for $f(x) = x^6 − 2 $ over $GF(7)$ .

Published on 25 Mar 2026 - 9:49

167

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About number of algebra of dimension 2 over a field

Published on 25 Mar 2026 - 11:06

503

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Galois extension from $GF(5)$ to $GF(25)$.

Published on 25 Mar 2026 - 20:52

180

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Jacobi form to Weierstrass form . . . lattices included .... polynomial factoring in the way

Published on 22 Mar 2026 - 10:44

57

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Restrictions of $Gal(\mathbb{C}/\mathbb{Q})$ to a finite extension $\mathbb{K}$ of $\mathbb{Q}$

Published on 25 Mar 2026 - 9:28

268

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Calculate the square root of a number in $\mathbb{Q}(\sqrt[3]{7})$

Published on 25 Mar 2026 - 9:27

512

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Splitting field of $X^5-t$ in $\mathbb{Q}(t)[X]$

Published on 28 Mar 2018 - 17:10

226

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Prove that $K \otimes_F F(\theta) \cong K[x]/(p(x))$ as $K$-algebras.

Published on 24 Mar 2026 - 22:07

List Question

Galois $\text{GF}(5)$, does $α^4=2$ make any sense?

Embedding quadratic fields into cyclic extension

Infinite Galois theory and $ \mathbb{N}^{ \mathbb{N}} $.

Given a galois group find the polynomial

Number of elements of a splitting field

confused about $\Bbb F_3(\alpha) \cong \Bbb F_3/\langle x^3+2x+2\rangle$

What is $(x^7-x)mod(x^6-3)$ equal to?

Find a splitting field for $f(x) = x^6 − 2 $ over $GF(7)$ .

About number of algebra of dimension 2 over a field

Galois extension from $GF(5)$ to $GF(25)$.

Jacobi form to Weierstrass form . . . lattices included .... polynomial factoring in the way

Restrictions of $Gal(\mathbb{C}/\mathbb{Q})$ to a finite extension $\mathbb{K}$ of $\mathbb{Q}$

Calculate the square root of a number in $\mathbb{Q}(\sqrt[3]{7})$

Splitting field of $X^5-t$ in $\mathbb{Q}(t)[X]$

Prove that $K \otimes_F F(\theta) \cong K[x]/(p(x))$ as $K$-algebras.

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