Generation of the symplectic group by involutions

Villa, Oliver (2020) Generation of the symplectic group by involutions. Linear Algebra and its Applications, 591. pp. 154-159. ISSN 0024-3795

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Abstract

Let (V,b) be a symplectic space over a field where −1 is a square. Then, except for small dimensions, every element in the symplectic group Sp(V) is a product of 6 or fewer involutions.

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