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 59 · Answer 1 · 2020-04-13 20:56:34

59

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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 13 Apr 2020 - 20:56

score 65 · Answer 2 · 2026-03-25 01:26:00

65

Views

Algebraic closure of completions in function fields

Published on 25 Mar 2026 - 1:26

score 438 · Answer 3 · 2026-03-25 03:01:16

438

Views

Logarithm and Lubin-Tate formal group

Published on 25 Mar 2026 - 3:01

score 67 · Answer 4 · 2020-04-28 08:19:27

67

Views

Commutativity in local class field theory

Published on 28 Apr 2020 - 8:19

score 997 · Answer 5 · 2020-04-29 05:42:44

997

Views

Galois group of tamely ramified extension

Published on 29 Apr 2020 - 5:42

score 28 · Answer 6 · 2020-05-01 02:06:17

28

Views

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

Published on 01 May 2020 - 2:06

score 462 · Answer 7 · 2026-03-25 11:03:28

462

Views

Reference for properties of absolute Galois group of local field

Published on 25 Mar 2026 - 11:03

score 107 · Answer 8 · 2020-05-12 19:37:04

107

Views

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

Published on 12 May 2020 - 19:37

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 246 · Answer 10 · 2020-05-22 15:40:59

246

Views

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

Published on 22 May 2020 - 15:40

score 111 · Answer 11 · 2026-03-25 16:31:09

111

Views

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

Published on 25 Mar 2026 - 16:31

score 285 · Answer 12 · 2020-06-03 16:08:24

285

Views

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

Published on 03 Jun 2020 - 16:08

score 65 · Answer 13 · 2020-06-06 00:01:57

65

Views

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

Published on 06 Jun 2020 - 0:01

score 451 · Answer 14 · 2020-06-06 13:18:53

451

Views

Isomorphic extensions of $\mathbb Q_p$

Published on 06 Jun 2020 - 13:18

score 69 · Answer 15 · 2020-06-08 12:17:20

69

Views

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

Published on 08 Jun 2020 - 12:17

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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