We will assume throughout that F is a field of characteristic char F / 2 and that V is a non-degenerate quadratic space over F of finite dimension Ž . Ž . dim V s n. The orthogonal group of V is denoted O V and ⍀ V is its n n commutator subgroup. John Hsia, in reference to the classical fact that Ž . every element of ⍀ V is a product of commutators of symmetries, asked n
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