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Subnormal structure of non-stable unitary groups over rings
Authors:Zuhong Zhang
Institution:Department of Mathematics, Beijing Institute of Technology, Beijing, China
Abstract:Let R be a commutative ring with identity in which 2 is invertible. Let H denote a subgroup of the unitary group U(2n,R,Λ) with n≥4. H is normalized by EU(2n,J,ΓJ) for some form ideal (J,ΓJ) of the form ring (R,Λ). The purpose of the paper is to prove that H satisfies a “sandwich” property, i.e. there exists a form ideal (I,ΓI) such that
EU(2n,IJ8ΓJ,Γ)⊆HCU(2n,I,ΓI).
Keywords:20H25  20G35
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