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Displaying 41 – 60 of 173

Galois structure of ideals in wildly ramified abelian $p$ -extensions of a $p$ -adic field, and some applications

Nigel P. Byott (1997)

Journal de théorie des nombres de Bordeaux

Let $K$ be a finite extension of $ℚ_{p}$ with ramification index $e$ , and let $L / K$ be a finite abelian $p$ -extension with Galois group $Γ$ and ramification index $p^{n}$ . We give a criterion in terms of the ramification numbers $t_{i}$ for a fractional ideal $𝔓^{h}$ of the valuation ring $S$ of $L$ not to be free over its associated order $𝔄 (K Γ; 𝔓^{h})$ . In particular, if $t_{n} - [t_{n} / p] < p^{n - 1} e$ then the inverse different can be free over its associated order only when $t_{i} \equiv - 1$ (mod $p^{n}$ ) for all $i$ . We give three consequences of this. Firstly, if $𝔄 (K Γ; S)$ is a Hopf order and $S$ is $𝔄 (K Γ; S)$ -Galois...

Generalization of a result of Shankar Sen: Integral representations associated with local field extensions

François Destrempes (1993)

Acta Arithmetica

Generalized Artin-Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field. II.

Zinov'ev, A.N. (2005)

Journal of Mathematical Sciences (New York)

Global restrictions on ramification in number fields.

H. Zantema (1983)

Manuscripta mathematica

Groupe de Selmer d'une courbe elliptique à multiplication complexe

Bernadette Perrin-Riou (1981)

Compositio Mathematica

Groupes de Galois résolubles et séries formelles

François Laubie, Delphine Poingt (2012)

Acta Arithmetica

Groupes de Lie p-adiques et ramification

François LAUBIE (1982/1983)

Seminaire de Théorie des Nombres de Bordeaux

Higher fields of norms and $(ϕ, Γ)$ -modules.

Scholl, Anthony J. (2007)

Documenta Mathematica

Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields

Jordi Guàrdia, Jesús Montes, Enric Nart (2011)

Journal de Théorie des Nombres de Bordeaux

We present an algorithm for computing discriminants and prime ideal decomposition in number fields. The algorithm is a refinement of a $p$ -adic factorization method based on Newton polygons of higher order. The running-time and memory requirements of the algorithm appear to be very good.

Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez. (Théorie d'Iwasawa et loi explicite de réciprocité. Un remake d'un article de P. Colmez.)

Perrin-Riou, Bernadette (1999)

Documenta Mathematica

Currently displaying 41 – 60 of 173

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Displaying 41 – 60 of 173

Galois structure of ideals in wildly ramified abelian $p$ -extensions of a $p$ -adic field, and some applications

Generalization of a result of Shankar Sen: Integral representations associated with local field extensions

Generalized Artin-Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field. II.

Global restrictions on ramification in number fields.

Groupe de Selmer d'une courbe elliptique à multiplication complexe

Groupes de Galois résolubles et séries formelles

Groupes de Lie p-adiques et ramification

Higher fields of norms and $(ϕ, Γ)$ -modules.

Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields

Higher ramification in Hensel fields.

Hopf Galois structures on degree $p^{2}$ cyclic extensions of local fields.

Hopf structure and the Kummer theory of formal groups.

Integer Valued polynomials over a number field.

Irregularity and $p$ -adic Swan conductor. (Irrégularité et conducteur de Swan $p$ -adiques.)

Iwasawa Invariants.

Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez. (Théorie d'Iwasawa et loi explicite de réciprocité. Un remake d'un article de P. Colmez.)

Konstruktion von Zahl- und Funktionenkörpern mit vorgegebener Galoisgruppe.

La ramification des extensions galoisiennes est déterminée par les discriminants de certaines sous-extensions

La résolution des conjectures d'Artin dans les cas ... et ... par les méthodes de Langlands

Le corps des normes de certaines extensions infinies de corps locaux; applications

Currently displaying 41 – 60 of 173