The isomorphisms of orthogonal groups over local rings

DOI10.1007/BF02564929zbMath0623.20037OpenAlexW2040229689MaRDI QIDQ3760737

Jianbei An, Xiangpu Tang

Publication date: 1986

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02564929

zbMATH Keywords

orthogonal groupsstandard automorphismssymmetric bilinear formcommutative local ringsprojective orthogonal groupsorthogonal semilinear isomorphism

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Other matrix groups over rings (20H25) Representations of groups as automorphism groups of algebraic systems (20F29) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

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• On the geometry of unitary groups
• Cayley algebras and the isomorphisms of the orthogonal groups over arithmetic and local domains
• Isomorphism theory for orthogonal groups over arbitrary integral domains
• Unitary geometry over local rings
• On the Structure of Orthogonal Groups Over Local Rings
• The Automorphisms of the Orthogonal Groups Ω n (V) Over Fields

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