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Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations
(American Mathematical Society, 2017-02)
This article is the first part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. In this first part, we determine the smallest field ...
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
Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties
(Springer, 2015-04)
This article is the third and last part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part proves the following new result ...
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 ...