Question

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

score 93 · Answer 1 · 2018-06-27 14:39:28

93

Views

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

Published on 27 Jun 2018 - 14:39

score 42 · Answer 2 · 2018-06-27 17:20:01

42

Views

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

Published on 27 Jun 2018 - 17:20

score 172 · Answer 3 · 2018-06-28 10:45:34

172

Views

Is every finite extension inside a maximal abelian extension abelian?

Published on 28 Jun 2018 - 10:45

score 99 · Answer 4 · 2018-06-28 18:03:28

99

Views

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

Published on 28 Jun 2018 - 18:03

score 57 · Answer 5 · 2026-03-22 05:59:10

57

Views

Open subgroup of $ \mathcal{O}_L $

Published on 22 Mar 2026 - 5:59

score 50 · Answer 6 · 2026-03-22 14:53:04

50

Views

Is this subset dense in a complete field?

Published on 22 Mar 2026 - 14:53

score 137 · Answer 7 · 2018-07-25 04:33:34

137

Views

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

Published on 25 Jul 2018 - 4:33

score 86 · Answer 8 · 2018-07-29 17:37:39

86

Views

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

Published on 29 Jul 2018 - 17:37

score 306 · Answer 9 · 2026-03-16 21:32:18

306

Views

Vanishing of second Galois cohomology group

Published on 16 Mar 2026 - 21:32

score 1.5k · Answer 10 · 2018-08-02 10:27:57

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 02 Aug 2018 - 10:27

score 252 · Answer 11 · 2018-09-10 22:11:14

252

Views

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

Published on 10 Sep 2018 - 22:11

score 145 · Answer 12 · 2018-09-10 23:22:02

145

Views

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

Published on 10 Sep 2018 - 23:22

score 79 · Answer 13 · 2018-09-18 14:49:30

79

Views

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

Published on 18 Sep 2018 - 14:49

score 1.2k · Answer 14 · 2018-10-07 18:31:11

1.2k

Views

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

Published on 07 Oct 2018 - 18:31

score 194 · Answer 15 · 2018-10-08 20:33:54

194

Views

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

Published on 08 Oct 2018 - 20:33

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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