Results 41 to 50 of about 2,228 (208)

Hilbertian fields and Galois representations [PDF]

, 2016
peer reviewedWe prove a new Hilbertianity criterion for fields in towers whose steps are Galois with Galois group either abelian or a product of finite simple groups. We then apply this criterion to fields arising from Galois representations.
WIESE, Gabor, Fehm, Arno, Bary-Soroker, Lior   +2 more
core   +1 more source

Modularity of trianguline Galois representations

Forum of Mathematics, Sigma
We use the theory of trianguline $(\varphi ,\Gamma )$ -modules over pseudorigid spaces to prove a modularity lifting theorem for certain Galois representations which are trianguline at p, including those with characteristic p coefficients.
Rebecca Bellovin
doaj   +1 more source

On the Integrality of Some Galois Representations [PDF]

Proceedings of the American Mathematical Society, 1995
We find an appropriate topology to put on K , the fraction field of the Iwasawa algebra Λ
openaire   +2 more sources

Classification of Subgroups of Symplectic Groups Over Finite Fields Containing a Transvection

Demonstratio Mathematica, 2016
In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpn(F̅ℓ) containing a nontrivial transvection for ℓ ≥ 5, which can be derived from work of Kantor: G is either reducible ...
Arias-de-Reyna S., Dieulefait L., Wiese G.   +2 more
doaj   +1 more source

Computation of Galois field expressions for quaternary logic functions on GPUs [PDF]

Serbian Journal of Electrical Engineering, 2014
Galois field (GF) expressions are polynomials used as representations of multiple-valued logic (MVL) functions. For this purpose, MVL functions are considered as functions defined over a finite (Galois) field of order p - GF(p).
Gajić Dušan B.
doaj   +1 more source

Lifting G-Valued Galois Representations when $\ell \neq p$

Forum of Mathematics, Sigma
In this paper, we study the universal lifting spaces of local Galois representations valued in arbitrary reductive group schemes when $\ell \neq p$ .
Jeremy Booher, Sean Cotner, Shiang Tang
doaj   +1 more source

Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

Forum of Mathematics, Sigma, 2021
We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj   +1 more source

COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

Forum of Mathematics, Sigma, 2016
Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
doaj   +1 more source

On the Galois module structure of units in met acyclic extensions [PDF]

, 1996
Let Г be a metacyclic group of order pq with p and q prime. We shall show that the Г-cohomology and character of a Г-lattice determine its genus. Let N/L be a Galois extension with group Г, then U(_N), the torsion-free units of N, is a Г-lattice and the ...
McGaul, K.Y., McGaul, Karen Yvonne
core  

ON THE IRREDUCIBLE COMPONENTS OF SOME CRYSTALLINE DEFORMATION RINGS

Forum of Mathematics, Sigma, 2020
We adapt a technique of Kisin to construct and study crystalline deformation rings of $G_{K}$ for a finite extension $K/\mathbb{Q}_{p}$. This is done by considering a moduli space of Breuil–Kisin modules, satisfying an additional Galois condition, over ...
ROBIN BARTLETT
doaj   +1 more source