List questions from galois-theory

Published on 02 May 2026 - 11:49

242

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Finite extension of $K$,a finite extension of $\mathbb{Q}_p$, that is Galois?

Published on 29 Apr 2026 - 12:16

77

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Why is $E[2]$ of $E: y^2 = x^3 - p$ over $\mathbb{Q}_p$ ramified?

Published on 29 Apr 2026 - 12:15

936

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non separable, non normal, finite field extension

Published on 28 Apr 2026 - 11:05

313

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Question about why inertia subgroup is a closed subgroup of the Galois group

Published on 29 Apr 2026 - 12:16

96

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Prove that this quadratically closed extension of $\mathbb{F}_2$ remains quadratically closed after considering cubic extensions

Published on 16 Apr 2026 - 8:44

852

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Finding galois group of a $4$ degree polynomial

Published on 13 Apr 2026 - 2:28

139

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Consider polynomial $X^3-3X+1$ If $\alpha$ is a root $\alpha^3-3 \alpha+1=0 $

Published on 16 Apr 2026 - 11:03

774

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Question about Field Extension of p -adic field

Published on 12 Apr 2026 - 20:14

100

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Isomorphism between Galois Groups

Published on 12 Apr 2026 - 23:55

227

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Is there always a prime having only one prime above it?

Published on 14 Apr 2026 - 4:47

166

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$-1$ is not a sum of square

Published on 13 Apr 2026 - 18:00

273

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Consequence of Hensel's Lemma

Published on 14 Apr 2026 - 15:42

248

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Is a vector space with countable basis is countable?

Published on 26 Mar 2026 - 14:16

81

Views

Galois group of $T^3-2$ over $ \mathbb{F}_5$

Published on 15 Apr 2026 - 13:51

List Question

Property of Splitting Fields and K-homomorphisms

Finite extension of $K$,a finite extension of $\mathbb{Q}_p$, that is Galois?

Why is $E[2]$ of $E: y^2 = x^3 - p$ over $\mathbb{Q}_p$ ramified?

non separable, non normal, finite field extension

Question about why inertia subgroup is a closed subgroup of the Galois group

Prove that this quadratically closed extension of $\mathbb{F}_2$ remains quadratically closed after considering cubic extensions

Finding galois group of a $4$ degree polynomial

Consider polynomial $X^3-3X+1$ If $\alpha$ is a root $\alpha^3-3 \alpha+1=0 $

Question about Field Extension of p -adic field

Isomorphism between Galois Groups

Is there always a prime having only one prime above it?

$-1$ is not a sum of square

Consequence of Hensel's Lemma

Is a vector space with countable basis is countable?

Galois group of $T^3-2$ over $ \mathbb{F}_5$

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