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Normal subgroups of classical groups over Banach algebras. (English) Zbl 0708.46047
In an earlier paper the author of the paper under review described the subgroups of the general linear group $GL\sb nA$, $n\ge 3$, over a Banach algebra A with 1 which are normalized by elementary matrices. In the present paper similar results are obtained for unitary groups in the sense of Wall’s definition which include symplectic and orthogonal groups.
Reviewer: V.V.Peller

MSC:
46H05General theory of topological algebras
20H05Unimodular groups, congruence subgroups (matrix groups)
20E07Subgroup theorems; subgroup growth
20G35Linear algebraic groups over adèles and other rings and schemes
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