The orthogonal and the special orthogonal groups over a full ring

DOI10.1016/0021-8693(81)90289-1zbMath0448.20047OpenAlexW1980772659MaRDI QIDQ1146766

B. R. McDonald, Bessie H. Kirkwood

Publication date: 1981

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90289-1

zbMATH Keywords

special orthogonal groupClifford algebracongruence subgroupsfull ringsnormal subgroups of the orthogonal grouporthogonal group of a free symmetric inner product space

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Chains and lattices of subgroups, subnormal subgroups (20E15) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Classical groups (11E57)

Related Items

Linear groups over general rings. I: Generalities. ⋮ The Witt ring of a full ring ⋮ Linear groups ⋮ Gl₂of rings with many units ⋮ Multiplicative and transitive symplectic groups

Cites Work

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• The Witt ring of a full ring
• The orthogonal group over a full ring
• Quadratic forms over semilocal rings
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• Involutory Matrices Over Finite Local Rings
• On the Structure of Orthogonal Groups Over Local Rings