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Bounded generation of some -arithmetic orthogonal groups

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Publication:2761882
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DOI10.1016/S0764-4442(01)02061-4zbMath1010.20033WikidataQ127363869 ScholiaQ127363869MaRDI QIDQ2761882

Igor V. Erovenko, Andrei S. Rapinchuk

Publication date: 6 February 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)


zbMATH Keywords

orthogonal groupsquadratic formsnumber fieldsWitt index


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30)


Related Items

Width of SL(n,𝒪S,I), Bounded reduction of orthogonal matrices over polynomial rings, Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields., Linear groups over general rings. I: Generalities., Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\), Unitriangular factorizations of Chevalley groups., On the length of commutators in Chevalley groups., Ranks of subgroups in boundedly generated groups, ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION



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