Subnormal structure of classical groups over Banach algebra

Let (R,Λ) be a Banach algebra with form parameter Λ, and let (J,Γ) be a form ideal of (R,Λ). We obtain a complete description of all subgroups of the quadratic groups Q2n(R,Λ) which are normalized by relative elementary subgroup EQ2n(J,Γ) for all n⩾4.