Question

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

score 96 · Answer 1 · 2026-03-25 15:42:31

96

Views

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

Published on 25 Mar 2026 - 15:42

score 101 · Answer 2 · 2026-05-03 23:55:47

101

Views

Norm topology vs Zariski topology in non-Archimedean setting

Published on 03 May 2026 - 23:55

score 210 · Answer 3 · 2026-03-25 15:43:41

210

Views

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

Published on 25 Mar 2026 - 15:43

score 147 · Answer 4 · 2026-04-25 23:48:07

147

Views

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

Published on 25 Apr 2026 - 23:48

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 627 · Answer 6 · 2026-03-25 15:42:28

627

Views

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

Published on 25 Mar 2026 - 15:42

score 92 · Answer 7 · 2026-03-25 17:20:02

92

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 25 Mar 2026 - 17:20

score 74 · Answer 8 · 2026-03-25 15:40:13

74

Views

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

Published on 25 Mar 2026 - 15:40

score 443 · Answer 9 · 2026-03-25 15:42:25

443

Views

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

Published on 25 Mar 2026 - 15:42

score 172 · Answer 10 · 2026-03-25 15:42:35

172

Views

Galois group of tamely ramified extension of local field

Published on 25 Mar 2026 - 15:42

score 237 · Answer 11 · 2026-03-25 15:43:43

237

Views

Degree of cyclotomic extension of local field

Published on 25 Mar 2026 - 15:43

score 377 · Answer 12 · 2026-03-25 15:41:01

377

Views

Extensions of Local Fields and the Trace Map

Published on 25 Mar 2026 - 15:41

score 720 · Answer 13 · 2026-03-25 15:46:09

720

Views

Totally ramified extensions of local fields

Published on 25 Mar 2026 - 15:46

score 121 · Answer 14 · 2026-03-25 15:38:52

121

Views

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

Published on 25 Mar 2026 - 15:38

score 190 · Answer 15 · 2026-04-30 09:53:48

190

Views

Examples of local fields

Published on 30 Apr 2026 - 9:53

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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