Results 161 to 170 of about 772 (199)

Galois module structure of Tate modules

Mathematische Zeitschrift, 1997
If \(Y\to X\) is a \(G\)-covering of smooth projective curves over an algebraically closed field \(k\), then the Tate module \(T_\ell(Y)=\text{projlim}_n\text{Pic}^0(Y)[\ell^n]\) is naturally a module over \(\mathbb Z_\ell[G]\). The subject of the present paper is to determine this module for the case where \(G\) is a cyclic \(\ell\)-group, and \(\ell\)
Rzedowski-Calderón, Martha, Villa Salvador, Gabriel, Madan, Manohar L.   +2 more
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Finite galois modules

Journal of Soviet Mathematics, 1981
A single general formula is given for the weak approximation in algebraic tori over global fields. We calculate the first cohomology group for the torus of an embedding problem of fields with Abelian kernel, the coefficients being the Picard group of a nonsingular projective model of the torus.
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Duality and Hermitian Galois Module Structure

Proceedings of the London Mathematical Society, 2003
Summary: Suppose \(\mathcal{O}\) is either the ring of integers of a number field, the ring of integers of a \(p\)-adic local field, or a field of characteristic \(0\). Let \(\mathcal{X}\) be a regular projective scheme which is flat and equidimensional over \(\mathcal{O}\) of relative dimension \(d\). Suppose \(G\) is a finite group acting tamely on \(
Chinburg, Ted, Pappas, Georgios, Taylor, Martin J.   +2 more
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Galois modules and the Theorem of the Cube

Inventiones Mathematicae, 1998
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Multiplicative Galois Module Structure

Journal of the London Mathematical Society, 1984
Soit N/K une extension finie galoisienne de corps de nombres de groupe de Galois G. Soit S un ensemble fini de places de N stable par G. On note U le groupe des S-unités de N et X l'ensemble \(\{\) \(\sum_{v\in S}n_ v v\), \(\sum_{v\in S}n_ v=0\}\). En supposant S assez gros, J. Tate a défini une classe canonique \(\alpha\) (N/K,S) dans Ext\({}^ 2_ G\)(
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Lutz filtration as a Galois module

Lobachevskii Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vostokov, Sergei, Nekrasov, I., Vostokova, R.   +2 more
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Exact Sequences and Galois Module Structure

The Annals of Mathematics, 1985
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Galois Theory of Essential Extensions of Modules

Canadian Journal of Mathematics, 1972
The purpose of this paper is to exploit an analogy between algebraic extensions of fields and essential extensions of modules, in which the role of the algebraic closure of a field F is played by the injective hull H(M) of a unitary left R-module M.
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Low-temperature sintering of Ag nanoparticles for high-performance thermoelectric module design

Nature Energy, 2023
Hongjun Ji, Feng Cao, Jun Mao
exaly  

Frobenius Modules and Galois Groups

2004
In these notes some basic facts on Frobenius modules are collected. Frobenius modules are finite-dimensional vector spaces over fields with a Frobenius endomorphism O, provided with an injective O-semilinear Frobenius operator Ф.
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