List questions from ramification

Published on 17 Mar 2021 - 11:48

67

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Discriminant of odd cyclic Galois extension is not a power of 2

Published on 26 Mar 2026 - 9:26

80

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Odd subfield of cyclotomic field with 2-ramification

Published on 28 Mar 2021 - 15:56

199

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example of non abelian totally ramified extension

Published on 03 Apr 2021 - 17:29

54

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the example of field extension over $\mathbb{Q}_p$ such that the Galois group is not solvable

Published on 04 Apr 2021 - 20:25

77

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Quartic unramified extension of $\mathbb{Q}_p$ and existence of generators of the form $\sqrt[4]{a}$ for an integer $a$

Published on 16 Apr 2021 - 17:42

236

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Can inseparable elements “appear” in the residue field of the Galois closure of a field extension with separable residue field extension?

Published on 23 Feb 2026 - 19:23

123

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Ramification question in compositum of cyclotomic and degree 5 extension.

Published on 26 Mar 2026 - 9:42

229

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Unramified subextensions of $\mathbf{Q}(\alpha,\sqrt{-23})$

Published on 08 May 2021 - 12:43

25

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Prove any semistandard Ehrhart form has at least one totally ramified subform

Published on 07 Jun 2021 - 22:31

57

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Ramifies as well as split

Published on 07 Aug 2021 - 13:37

43

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Sufficient condition of $K'/K$ is ramified extension

Published on 15 Sep 2021 - 5:38

224

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Example of degree $n$ ramified, but not totally ramified extension

Published on 25 Mar 2026 - 9:50

84

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Integral basis for totally ramified extensions of $p$-adic fields

Published on 24 Oct 2021 - 15:28

152

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Ramification index example.

Published on 26 Mar 2026 - 3:19

List Question

How to show that this $V_4-$ extension ramifies at the infinite prime?

Discriminant of odd cyclic Galois extension is not a power of 2

Odd subfield of cyclotomic field with 2-ramification

example of non abelian totally ramified extension

the example of field extension over $\mathbb{Q}_p$ such that the Galois group is not solvable

Quartic unramified extension of $\mathbb{Q}_p$ and existence of generators of the form $\sqrt[4]{a}$ for an integer $a$

Can inseparable elements “appear” in the residue field of the Galois closure of a field extension with separable residue field extension?

Ramification question in compositum of cyclotomic and degree 5 extension.

Unramified subextensions of $\mathbf{Q}(\alpha,\sqrt{-23})$

Prove any semistandard Ehrhart form has at least one totally ramified subform

Ramifies as well as split

Sufficient condition of $K'/K$ is ramified extension

Example of degree $n$ ramified, but not totally ramified extension

Integral basis for totally ramified extensions of $p$-adic fields

Ramification index example.

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