Question

How to determine a prime element in the local extension $\mathbb Q _3(\sqrt[3]{ 3\cdot \sqrt[3]5})/\mathbb Q_3$?

score 60 · Answer 1 · 2026-03-25 18:56:24

60

Views

How to determine a prime element in the local extension $\mathbb Q _3(\sqrt[3]{ 3\cdot \sqrt[3]5})/\mathbb Q_3$?

Published on 25 Mar 2026 - 18:56

score 66 · Answer 2 · 2026-05-11 00:54:50

66

Views

Algebraic closure of completions in function fields

Published on 11 May 2026 - 0:54

score 440 · Answer 3 · 2026-05-11 00:43:11

440

Views

Logarithm and Lubin-Tate formal group

Published on 11 May 2026 - 0:43

score 68 · Answer 4 · 2026-03-25 18:53:32

68

Views

Commutativity in local class field theory

Published on 25 Mar 2026 - 18:53

score 998 · Answer 5 · 2026-03-25 18:57:29

998

Views

Galois group of tamely ramified extension

Published on 25 Mar 2026 - 18:57

score 29 · Answer 6 · 2026-03-25 18:54:52

29

Views

ord map from a local field to $\mathbb{Z}$

Published on 25 Mar 2026 - 18:54

score 463 · Answer 7 · 2026-05-11 01:13:39

463

Views

Reference for properties of absolute Galois group of local field

Published on 11 May 2026 - 1:13

score 108 · Answer 8 · 2026-03-25 18:59:07

108

Views

Algebraic closure of Puiseaux field $K((T))$ equals $\bigcup_{n \ge 1} K((T^{1/n}))$

Published on 25 Mar 2026 - 18:59

score 200 · Answer 9 · 2026-03-25 07:46:31

200

Views

A theorem of Lutz about the structure of the points of an elliptic curve over a finite extension of $\mathbb{Q}_p$

Published on 25 Mar 2026 - 7:46

score 247 · Answer 10 · 2026-03-25 18:57:51

247

Views

Lift Frobenius generator of Galois group $Gal(l/k)$ of an unramified extension $L/K$

Published on 25 Mar 2026 - 18:57

score 125 · Answer 11 · 2026-04-26 03:54:16

125

Views

$K^{n}$ has finite index in $K^$ for an infinite extension field $K$ of $\mathbb{Q}_p$?

Published on 26 Apr 2026 - 3:54

score 286 · Answer 12 · 2026-03-25 18:57:52

286

Views

Structure of the units of the valuation ring of a finite extension of $\mathbb{Q}_p$

Published on 25 Mar 2026 - 18:57

score 66 · Answer 13 · 2026-03-25 18:55:05

66

Views

Checking if the intersection of two cyclic $p$-adic extensions with certain properties is trivial

Published on 25 Mar 2026 - 18:55

score 452 · Answer 14 · 2026-03-25 18:53:52

452

Views

Isomorphic extensions of $\mathbb Q_p$

Published on 25 Mar 2026 - 18:53

score 70 · Answer 15 · 2026-03-25 18:57:44

70

Views

Any compact subset of $\bar{\mathbb{Q}}_{p}$ is in a finite extension of $\mathbb{Q}_p$?

Published on 25 Mar 2026 - 18:57

List Question

How to determine a prime element in the local extension $\mathbb Q _3(\sqrt[3]{ 3\cdot \sqrt[3]5})/\mathbb Q_3$?

Algebraic closure of completions in function fields

Logarithm and Lubin-Tate formal group

Commutativity in local class field theory

Galois group of tamely ramified extension

ord map from a local field to $\mathbb{Z}$

Reference for properties of absolute Galois group of local field

Algebraic closure of Puiseaux field $K((T))$ equals $\bigcup_{n \ge 1} K((T^{1/n}))$

A theorem of Lutz about the structure of the points of an elliptic curve over a finite extension of $\mathbb{Q}_p$

Lift Frobenius generator of Galois group $Gal(l/k)$ of an unramified extension $L/K$

$K^{n}$ has finite index in $K^$ for an infinite extension field $K$ of $\mathbb{Q}_p$?

Structure of the units of the valuation ring of a finite extension of $\mathbb{Q}_p$

Checking if the intersection of two cyclic $p$-adic extensions with certain properties is trivial

Isomorphic extensions of $\mathbb Q_p$

Any compact subset of $\bar{\mathbb{Q}}_{p}$ is in a finite extension of $\mathbb{Q}_p$?

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