Question

Question about non-archimedean local fields: how is $(1 + \mathfrak{m}^n) \langle\pi\rangle$ finite index open subgroup?

score 96 · Answer 1 · 2026-04-16 07:50:52

96

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Question about non-archimedean local fields: how is $(1 + \mathfrak{m}^n) \langle\pi\rangle$ finite index open subgroup?

Published on 16 Apr 2026 - 7:50

score 45 · Answer 2 · 2026-04-12 14:26:24

45

Views

Question related to local class field theory: why if two map agree on the uniformizer then they are equal on $K^*$

Published on 12 Apr 2026 - 14:26

score 175 · Answer 3 · 2026-04-08 18:40:34

175

Views

Is every finite extension inside a maximal abelian extension abelian?

Published on 08 Apr 2026 - 18:40

score 102 · Answer 4 · 2026-04-12 15:08:59

102

Views

Question regarding the statement of the Local Existence Theorem in Local Class Field Theory

Published on 12 Apr 2026 - 15:08

score 61 · Answer 5 · 2026-04-10 18:47:17

61

Views

Open subgroup of $ \mathcal{O}_L $

Published on 10 Apr 2026 - 18:47

score 53 · Answer 6 · 2026-04-13 16:07:18

53

Views

Is this subset dense in a complete field?

Published on 13 Apr 2026 - 16:07

score 140 · Answer 7 · 2026-04-16 07:10:23

140

Views

Non-Galois finite extensions of $F^{\operatorname{ur}}$

Published on 16 Apr 2026 - 7:10

score 89 · Answer 8 · 2026-04-13 01:30:45

89

Views

When is an element central in the image of a Weil representation?

Published on 13 Apr 2026 - 1:30

score 312 · Answer 9 · 2026-04-29 12:23:50

312

Views

Vanishing of second Galois cohomology group

Published on 29 Apr 2026 - 12:23

score 1.5k · Answer 10 · 2026-04-13 15:28:47

1.5k

Views

Definition of the Weil group: Question about exact sequence with Inertia Group and absolute Galois group over a local field

Published on 13 Apr 2026 - 15:28

score 255 · Answer 11 · 2026-04-14 05:29:30

255

Views

Is the Intertia subgroup the whole Galois group if our finite extension of local fields is totally ramified?

Published on 14 Apr 2026 - 5:29

score 148 · Answer 12 · 2026-04-14 17:00:03

148

Views

Why is the local polynomial of an Artin representation independent of the choice of the Frobenius element?

Published on 14 Apr 2026 - 17:00

score 82 · Answer 13 · 2026-04-13 13:18:23

82

Views

Under What assumptions on $p$, $\mathcal{O}_K^* \simeq \mathbb{Z}_p^{} \oplus \mathbb{Z}_p^{}$

Published on 13 Apr 2026 - 13:18

score 1.2k · Answer 14 · 2026-04-17 00:51:56

1.2k

Views

Totally Ramification and Quadratic extension of p-adic field $ \mathbb{Q}_p$

Published on 17 Apr 2026 - 0:51

score 198 · Answer 15 · 2026-05-10 14:07:31

198

Views

Can one write a finite extension of local fields as a compositum of fields whose degrees are prime powers?

Published on 10 May 2026 - 14:07

List Question

Question about non-archimedean local fields: how is $(1 + \mathfrak{m}^n) \langle\pi\rangle$ finite index open subgroup?

Question related to local class field theory: why if two map agree on the uniformizer then they are equal on $K^*$

Is every finite extension inside a maximal abelian extension abelian?

Question regarding the statement of the Local Existence Theorem in Local Class Field Theory

Open subgroup of $ \mathcal{O}_L $

Is this subset dense in a complete field?

Non-Galois finite extensions of $F^{\operatorname{ur}}$

When is an element central in the image of a Weil representation?

Vanishing of second Galois cohomology group

Definition of the Weil group: Question about exact sequence with Inertia Group and absolute Galois group over a local field

Is the Intertia subgroup the whole Galois group if our finite extension of local fields is totally ramified?

Why is the local polynomial of an Artin representation independent of the choice of the Frobenius element?

Under What assumptions on $p$, $\mathcal{O}_K^* \simeq \mathbb{Z}_p^{} \oplus \mathbb{Z}_p^{}$

Totally Ramification and Quadratic extension of p-adic field $ \mathbb{Q}_p$

Can one write a finite extension of local fields as a compositum of fields whose degrees are prime powers?

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