List questions from local-field

Published on 06 Apr 2022 - 21:04

230

Views

Is the "order of the decomposition group of an infinite prime" equal to $1$? $|D_{\mathfrak{P}}|=1$? (About infinite primes and decomposition groups)

Published on 17 Apr 2022 - 19:43

80

Views

Ramification of the field extension $\mathbb{Q}_p(\zeta_{p^2},p^{1/p})$

Published on 18 Apr 2022 - 20:16

211

Views

Understanding the Jacquet module of the Steinberg Representation

Published on 21 Apr 2022 - 10:14

102

Views

Residue class field of $\mathbb{Q}_p(\zeta_m)$, where $(m,p) = 1$, is $\mathbb{F}_p(\zeta_m)$

Published on 25 Mar 2026 - 11:24

27

Views

Rationality properties of unipotent groups defined over local fields of characteristic $p$

Published on 26 Mar 2026 - 1:03

239

Views

What does it mean for a field to be complete with respect to a topology?

Published on 07 Jun 2022 - 3:36

117

Views

Describing Galois groups of some local fields

Published on 12 Jun 2022 - 7:59

330

Views

Tamely ramified extension of local fields

Published on 15 Jun 2022 - 10:12

52

Views

use finite extensions approximate infinite extension

Published on 20 Jun 2022 - 9:04

131

Views

Unramified extensions of local fields

Published on 25 Mar 2026 - 12:53

217

Views

Compact subgroups of $p$-adic fields and the groups $GL_n$ over them

Published on 07 Jul 2022 - 3:30

132

Views

Valuation of $\zeta-1$

Published on 07 Jul 2022 - 9:16

81

Views

Norm group of $\mathbb{Q}_p(\sqrt[4]{\zeta_{p-1}p})$

Published on 07 Jul 2022 - 10:41

68

Views

Extension of a local field whit characteristic 0

Published on 11 Jul 2022 - 14:29

List Question

Does $\mathbb{Q}_2(\sqrt{-1},\sqrt{10})$ contain $\mathbb{Q}_2(\sqrt{5})$?

Is the "order of the decomposition group of an infinite prime" equal to $1$? $|D_{\mathfrak{P}}|=1$? (About infinite primes and decomposition groups)

Ramification of the field extension $\mathbb{Q}_p(\zeta_{p^2},p^{1/p})$

Understanding the Jacquet module of the Steinberg Representation

Residue class field of $\mathbb{Q}_p(\zeta_m)$, where $(m,p) = 1$, is $\mathbb{F}_p(\zeta_m)$

Rationality properties of unipotent groups defined over local fields of characteristic $p$

What does it mean for a field to be complete with respect to a topology?

Describing Galois groups of some local fields

Tamely ramified extension of local fields

use finite extensions approximate infinite extension

Unramified extensions of local fields

Compact subgroups of $p$-adic fields and the groups $GL_n$ over them

Valuation of $\zeta-1$

Norm group of $\mathbb{Q}_p(\sqrt[4]{\zeta_{p-1}p})$

Extension of a local field whit characteristic 0

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