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  • Author: S. Arias-de-Reyna x
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In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpn(F̅) containing a nontrivial transvection for ℓ ≥ 5, which can be derived from work of Kantor: G is either reducible, symplectically imprimitive or it contains Spn(F̅). This result is for instance useful for proving ‘big image’ results for symplectic Galois representations.