Isomorphism Theorems for Octonion Planes Over Local Rings

DOI10.2307/1998432zbMath0492.17010OpenAlexW4242449588MaRDI QIDQ3953948

Robert Bix

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998432

zbMATH Keywords

exceptional Jordan algebracollineationlittle projective groupsmiddle projective groupoctonion planes over local rings

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40) Non-Desarguesian affine and projective planes (51A35)

Related Items (3)

Separable Jordan algebras over commutative rings. III ⋮ Isotopes of octonion algebras, \(\mathbf{G}_{2}\)-torsors and triality ⋮ Generically split octonion algebras and \(\mathbb{A}^1\)-homotopy theory

Cites Work

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• Composition algebras and their automorphisms
• Quadratic forms over semilocal rings
• Separable algebras over commutative rings
• Octonion Planes Over Local Rings
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• Octonion planes defined by quadratic Jordan algebras

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