Question

Why are the extensions of valuations in a Galois extension conjugate under the action of the Galois group?

score 210 · Answer 1 · 2020-11-23 18:06:27

210

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Why are the extensions of valuations in a Galois extension conjugate under the action of the Galois group?

Published on 23 Nov 2020 - 18:06

score 126 · Answer 2 · 2020-12-03 02:45:24

126

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Galois group of the compositum of a non-totally-ramified and a the unramified extension of $\mathbb{Q}_p$ of prime power degree

Published on 03 Dec 2020 - 2:45

score 161 · Answer 3 · 2020-12-24 20:47:48

161

Views

Inertia degree of primes in p-adic extensions

Published on 24 Dec 2020 - 20:47

score 93 · Answer 4 · 2026-03-26 06:29:50

93

Views

Ramification in subfield lattice of a cyclotomic field

Published on 26 Mar 2026 - 6:29

score 210 · Answer 5 · 2021-01-06 18:25:37

210

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From general ramification theory to ramification indexes of morphisms of elliptic curves

Published on 06 Jan 2021 - 18:25

score 236 · Answer 6 · 2021-01-18 17:46:38

236

Views

How we can know the ramification ideals geometrically?

Published on 18 Jan 2021 - 17:46

score 479 · Answer 7 · 2021-02-01 22:20:16

479

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Prime ramifies in L/K iff it ramifies in the Galois closure of L/K

Published on 01 Feb 2021 - 22:20

score 162 · Answer 8 · 2021-02-02 18:40:50

162

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branch point of elliptic curve

Published on 02 Feb 2021 - 18:40

score 177 · Answer 9 · 2021-02-10 18:16:30

177

Views

Marcus, Number Fields, Problem 19(b), Chapter 4

Published on 10 Feb 2021 - 18:16

score 201 · Answer 10 · 2021-02-13 16:23:16

201

Views

Is it always possible to construct an extension of $\mathbb{Q}_p$ as a totally ramified extension first and then an unramified extension after?

Published on 13 Feb 2021 - 16:23

score 25 · Answer 11 · 2021-02-14 05:14:39

25

Views

Ramification indices and residue class degrees of $\mathfrak{O}_K$ where $K=Q[\alpha]$, $f(\alpha)=0$, and $f(x)=x^3-x-1$.

Published on 14 Feb 2021 - 5:14

score 60 · Answer 12 · 2026-03-25 04:41:20

60

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torsion element of group associated to formal group

Published on 25 Mar 2026 - 4:41

score 65 · Answer 13 · 2021-03-02 12:49:58

65

Views

A problem related to localization

Published on 02 Mar 2021 - 12:49

score 151 · Answer 14 · 2021-03-09 23:04:51

151

Views

Relationship between the generators of two different cyclic and totally ramified extensions of $\mathbb{Q}_p$

Published on 09 Mar 2021 - 23:04

score 47 · Answer 15 · 2021-03-13 21:56:00

47

Views

Contraction of square of ideal is square of contraction - unramified primes of splitting field

Published on 13 Mar 2021 - 21:56

List Question

Why are the extensions of valuations in a Galois extension conjugate under the action of the Galois group?

Galois group of the compositum of a non-totally-ramified and a the unramified extension of $\mathbb{Q}_p$ of prime power degree

Inertia degree of primes in p-adic extensions

Ramification in subfield lattice of a cyclotomic field

From general ramification theory to ramification indexes of morphisms of elliptic curves

How we can know the ramification ideals geometrically?

Prime ramifies in L/K iff it ramifies in the Galois closure of L/K

branch point of elliptic curve

Marcus, Number Fields, Problem 19(b), Chapter 4

Is it always possible to construct an extension of $\mathbb{Q}_p$ as a totally ramified extension first and then an unramified extension after?

Ramification indices and residue class degrees of $\mathfrak{O}_K$ where $K=Q[\alpha]$, $f(\alpha)=0$, and $f(x)=x^3-x-1$.

torsion element of group associated to formal group

A problem related to localization

Relationship between the generators of two different cyclic and totally ramified extensions of $\mathbb{Q}_p$

Contraction of square of ideal is square of contraction - unramified primes of splitting field

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