Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields.

DOI10.1016/j.jnt.2005.10.006zbMath1168.20020arXivmath/0508480OpenAlexW1974847200MaRDI QIDQ852542

Igor V. Erovenko, Andrei S. Rapinchuk

Publication date: 15 November 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508480

zbMATH Keywords

algebraic groupsquadratic formsnumber fieldsWitt indexboundedly generated arithmetic groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30) Classical groups (11E57) Automorphism groups of lattices (11H56)

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Cites Work

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• DIAGRAMS WITH SELECTION AND METHOD FOR CONSTRUCTING BOUNDEDLY GENERATED AND BOUNDEDLY SIMPLE GROUPS
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