Isomorphism theorems for octonion planes over local rings
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- by Robert Bix PDF
- Trans. Amer. Math. Soc. 266 (1981), 423-439 Request permission
Abstract:
It is proved that there is a collineation between two octonion planes over local rings if and only if the underlying octonion algebras are isomorphic as rings. It is shown that every isomorphism between the little or middle projective groups of two octonion planes over local rings is induced by conjugation with a collineation or a correlation of the planes when the local rings contain $\frac {1} {2}$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 266 (1981), 423-439
- MSC: Primary 51A10; Secondary 17C40, 17C50
- DOI: https://doi.org/10.1090/S0002-9947-1981-0617543-0
- MathSciNet review: 617543