Octonion planes over local rings
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- by Robert Bix PDF
- Trans. Amer. Math. Soc. 261 (1980), 417-438 Request permission
Abstract:
Let $\mathcal {D}$ be an octonion algebra which is a free module over a local ring R and let $J = H({\mathcal {D}_3},\gamma )$ be the quadratic Jordan algebra of Hermitian 3-by-3 matrices over R. We define the octonion plane determined by J and prove that every collineation is induced by a norm semisimilarity of J. We classify the subgroups of the collineation group normalized by the little projective group.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 261 (1980), 417-438
- MSC: Primary 17C40; Secondary 20H25
- DOI: https://doi.org/10.1090/S0002-9947-1980-0580896-5
- MathSciNet review: 580896