Question

On the structure theory of the group of rational points of an algebraic group defined over a local non-Archimedean field

score 95 · Answer 1 · 2019-10-31 23:01:15

95

Views

On the structure theory of the group of rational points of an algebraic group defined over a local non-Archimedean field

Published on 31 Oct 2019 - 23:01

score 98 · Answer 2 · 2026-02-23 06:39:34

98

Views

Norm topology vs Zariski topology in non-Archimedean setting

Published on 23 Feb 2026 - 6:39

score 209 · Answer 3 · 2019-11-06 09:33:01

209

Views

Cyclic extensions of local fields that are neither totally ramified nor unramified

Published on 06 Nov 2019 - 9:33

score 134 · Answer 4 · 2026-03-22 12:12:28

134

Views

Index of $(K^)^m$ inside $K^$ for $K$ a local field

Published on 22 Mar 2026 - 12:12

score 458 · Answer 5 · 2026-03-25 12:51:02

458

Views

Proof of Cartan decomposition for $G=\operatorname{GL}_2(F)$ with local field $F$ (and Bruhat decomposition for a matrix with integer coefficients)

Published on 25 Mar 2026 - 12:51

score 626 · Answer 6 · 2019-11-24 00:15:01

626

Views

Field extension $\mathbb{Q}_p(\zeta_{p^n})/\mathbb{Q}_p$ Galois & totally ramified

Published on 24 Nov 2019 - 0:15

score 91 · Answer 7 · 2019-11-28 04:46:21

91

Views

Compute extension and intertial degree of $\mathbb{Q}_3(\sqrt[4]{-3}, i, \xi_3, \sqrt[3]{2})/\mathbb{Q}_3(\xi_3, \sqrt[3]{2})$

Published on 28 Nov 2019 - 4:46

score 73 · Answer 8 · 2019-11-30 16:03:10

73

Views

Link between $\mathbb{Q}_p(\alpha)/\mathbb{Q}_p$ and $\mathbb{Q}(\alpha)/\mathbb{Q}$ for $\alpha \in \overline{\mathbb{Q}}$

Published on 30 Nov 2019 - 16:03

score 442 · Answer 9 · 2019-11-30 23:18:51

442

Views

Galois group $G_{L/K}$ of unramified extension and its residue fields

Published on 30 Nov 2019 - 23:18

score 171 · Answer 10 · 2019-12-08 10:27:51

171

Views

Galois group of tamely ramified extension of local field

Published on 08 Dec 2019 - 10:27

score 236 · Answer 11 · 2019-12-08 22:14:44

236

Views

Degree of cyclotomic extension of local field

Published on 08 Dec 2019 - 22:14

score 376 · Answer 12 · 2020-01-03 11:21:43

376

Views

Extensions of Local Fields and the Trace Map

Published on 03 Jan 2020 - 11:21

score 719 · Answer 13 · 2020-01-05 22:56:18

719

Views

Totally ramified extensions of local fields

Published on 05 Jan 2020 - 22:56

score 120 · Answer 14 · 2020-01-22 21:29:07

120

Views

If two polynomials have the same absolute value everywhere, they differ by a unit

Published on 22 Jan 2020 - 21:29

score 188 · Answer 15 · 2020-02-08 16:03:52

188

Views

Examples of local fields

Published on 08 Feb 2020 - 16:03

List Question

On the structure theory of the group of rational points of an algebraic group defined over a local non-Archimedean field

Norm topology vs Zariski topology in non-Archimedean setting

Cyclic extensions of local fields that are neither totally ramified nor unramified

Index of $(K^)^m$ inside $K^$ for $K$ a local field

Proof of Cartan decomposition for $G=\operatorname{GL}_2(F)$ with local field $F$ (and Bruhat decomposition for a matrix with integer coefficients)

Field extension $\mathbb{Q}_p(\zeta_{p^n})/\mathbb{Q}_p$ Galois & totally ramified

Compute extension and intertial degree of $\mathbb{Q}_3(\sqrt[4]{-3}, i, \xi_3, \sqrt[3]{2})/\mathbb{Q}_3(\xi_3, \sqrt[3]{2})$

Link between $\mathbb{Q}_p(\alpha)/\mathbb{Q}_p$ and $\mathbb{Q}(\alpha)/\mathbb{Q}$ for $\alpha \in \overline{\mathbb{Q}}$

Galois group $G_{L/K}$ of unramified extension and its residue fields

Galois group of tamely ramified extension of local field

Degree of cyclotomic extension of local field

Extensions of Local Fields and the Trace Map

Totally ramified extensions of local fields

If two polynomials have the same absolute value everywhere, they differ by a unit

Examples of local fields

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