List questions from galois-extensions

Published on 08 Sep 2019 - 5:45

129

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Intermediate Normal Extensions and Normal Subgroups

Published on 15 Sep 2019 - 18:22

46

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finite Galois extension of K/$Q$ of index $>2$ prove that there exists field L s.t .$Q$ ⊊ L ⊆ $R$ ∩ K

Published on 16 Sep 2019 - 10:19

39

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Why solvability implies sequence of normal extensions?

Published on 16 Sep 2019 - 12:52

699

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galois field convert element in GF($2^8$) to form a+bt

Published on 26 Mar 2026 - 19:00

81

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How to prove that prime $q \neq p$ isn't ramified in $\mathbb{Z}_p$-extension of $\mathbb{Q}$?

Published on 23 Sep 2019 - 19:48

224

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Question for an abelian extension over $\mathbb{Q}$

Published on 26 Mar 2026 - 1:26

77

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Express the other roots with the powers of $\alpha$.

Published on 23 Mar 2026 - 3:51

276

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Galois group of quartic polynomial

Published on 24 Mar 2026 - 2:41

104

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Simple Galois extension

Published on 14 Oct 2019 - 16:36

105

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Question about the abelian extension over $\mathbb{Q}$

Published on 17 Oct 2019 - 10:53

104

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$N_1N_2N_3=\{x\in F^{\times}| x^2\in N\}$

Published on 20 Oct 2019 - 9:54

112

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Proving an extension is Galois

Published on 20 Mar 2026 - 1:13

69

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Understanding Lang’s comment about Galois extensions under isomorphisms

Published on 09 Mar 2026 - 0:59

80

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Algebraic extension over the field of algebraic reals

Published on 23 Mar 2026 - 0:38

List Question

Composition of Two Galois extension is Galois Extension

Intermediate Normal Extensions and Normal Subgroups

finite Galois extension of K/$Q$ of index $>2$ prove that there exists field L s.t .$Q$ ⊊ L ⊆ $R$ ∩ K

Why solvability implies sequence of normal extensions?

galois field convert element in GF($2^8$) to form a+bt

How to prove that prime $q \neq p$ isn't ramified in $\mathbb{Z}_p$-extension of $\mathbb{Q}$?

Question for an abelian extension over $\mathbb{Q}$

Express the other roots with the powers of $\alpha$.

Galois group of quartic polynomial

Simple Galois extension

Question about the abelian extension over $\mathbb{Q}$

$N_1N_2N_3=\{x\in F^{\times}| x^2\in N\}$

Proving an extension is Galois

Understanding Lang’s comment about Galois extensions under isomorphisms

Algebraic extension over the field of algebraic reals

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