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arXiv · 2507.11056

Products of involutions in symplectic groups I: bireflections

Klaus Nielsen
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Abstract

We classify bireflectional elements (products of 2 involutions) in symplectic groups Sp$(2n, K)$ over a field $K$. We also classify rev ersible elements (elements conjugate to their inverses) and bireflectional elements in finite projective symplectic groups PSp$(2n,q)$.

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Klaus Nielsen. 2025-07-15. Products of involutions in symplectic groups I: bireflections. https://arxiv.org/abs/2507.11056

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