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arxiv: 2606.04642 · v1 · pith:JMMFZVQZnew · submitted 2026-06-03 · 🧮 math.GR

Products of involutons in symplectic groups II

classification 🧮 math.GR
keywords evengroupsreflectionalsymplecticfieldinvolutonsproductsthey
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We show that the symplectic groups Sp(2n, K) over a field $K$ are 5-reflectional if $2n \ge 4$. If $n$ is even and $(2n, K) \ne (4, {\rm GF}(3))$ they are even 4-reflectional.

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