Buscar
Mostrando ítems 1-3 de 3
Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image
(Mathematical Sciences Publishers, 2016-03)
This article is the second part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part is concerned with symplectic Galois ...
Artículo
Large Galois images for Jacobian varieties of genus 3 curves
(Polish Academy of Sciences, Institute of Mathematics, 2016)
Given a prime number ℓ ≥ 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation ρA,ℓ : GQ → GSp6 (Fℓ) attached to the ℓ-torsion of ...
Artículo
Classification of subgroups of symplectic groups over finite fields containing a transvection
(De Gruyter Open, 2016-06)
In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpnpF`q containing a nontrivial transvection for ≥ 5, which can be derived from work of Kantor: G ...