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Galois cohomology and Galois representations.

Shankar Sen (1993)

Inventiones mathematicae

Galois covers of $ℙ^{1}$ over $ℚ$ with prescribed local or global behavior by specialization

Bernat Plans, Núria Vila (2005)

Journal de Théorie des Nombres de Bordeaux

This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of $ℙ_{ℚ}^{1}$ .

Galois extensions of height-one commuting dynamical systems

Ghassan Sarkis, Joel Specter (2013)

Journal de Théorie des Nombres de Bordeaux

We consider a dynamical system consisting of a pair of commuting power series under composition, one noninvertible and another nontorsion invertible, of height one with coefficients in the $p$ -adic integers. Assuming that each point of the dynamical system generates a Galois extension over the base field, we show that these extensions are in fact abelian, and, using results from the theory of the field of norms, we also show that the dynamical system must include a torsion series. From an earlier...

Galois ...-factors modulo roots of unity.

Guy Henniart (1984)

Inventiones mathematicae

Galois generators and the subspace theorem.

G.R. Everest (1986/1987)

Manuscripta mathematica

Galois module structure of abelian extensions.

Leon R. McCulloh (1987)

Journal für die reine und angewandte Mathematik

Galois module structure of ideals in wildly ramified cyclic extensions of degree $p^{2}$

Elder Gove Griffith (1998)

Annales de l'institut Fourier

Galois module structure of ideals in wildly ramified cyclic extensions of degree $p^{2}$

Gove Griffith Elder (1995)

Annales de l'institut Fourier

For $L / K$ , any totally ramified cyclic extension of degree $p^{2}$ of local fields which are finite extensions of the field of $p$ -adic numbers, we describe the $ℤ_{p} [Gal (L / K)]$ -module structure of each fractional ideal of $L$ explicitly in terms of the $4 p + 1$ indecomposable $ℤ_{p} [Gal (L / K)]$ -modules classified by Heller and Reiner. The exponents are determined only by the invariants of ramification.

Galois Module Structure of Rings of Intergers.

Martha Rzedowski Calderón (1990)

Mathematische Zeitschrift

Galois representations

Richard Taylor (2004)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Galois representations of dihedral type over ℚₚ

Peder Frederiksen, Ian Kiming (2004)

Acta Arithmetica

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...

Currently displaying 1 – 20 of 26

Page 1 Next

Displaying 1 – 20 of 26

Galois cohomology and Galois representations.

Galois covers of $ℙ^{1}$ over $ℚ$ with prescribed local or global behavior by specialization

Galois extensions of height-one commuting dynamical systems

Galois ...-factors modulo roots of unity.

Galois generators and the subspace theorem.

Galois module structure of abelian extensions.

Galois module structure of ideals in wildly ramified cyclic extensions of degree $p^{2}$

Galois module structure of ideals in wildly ramified cyclic extensions of degree $p^{2}$

Galois Module Structure of Rings of Intergers.

Galois representations

Galois representations of dihedral type over ℚₚ

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

Galoismoduln mit Hasse-Prinzip.

Galoissche Kennzeichnung p-adisch abgeschlossener Körper.

Gaussian sums over finite fields and gamma functions. (Gaussche Summen über endlichen Körpern und Gammafunktion.)

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.

Generalized $q$ -Euler numbers and polynomials of higher order and some theoretic identities.

Genre et genre résiduel des corps de fonctions valués

Géométrie des nombres $p$ -adiques

Currently displaying 1 – 20 of 26