Cubic subfields of exceptional simple Jordan algebras
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- by H. P. Petersson and M. L. Racine PDF
- Proc. Amer. Math. Soc. 91 (1984), 31-36 Request permission
Abstract:
Let $E/k$ be a cubic field extension and $J$ a simple exceptional Jordan algebra of degree 3 over $k$. Then $E$ is a reducing field of $J$ if and only if $E$ is isomorphic to a (maximal) subfield of some isotope of $J$. If $k$ has characteristic not 2 or 3 and contains the third roots of unity then every simple exceptional Jordan division algebra of degree 3 over $k$ contains a cyclic cubic subfield.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 31-36
- MSC: Primary 17C40
- DOI: https://doi.org/10.1090/S0002-9939-1984-0735558-7
- MathSciNet review: 735558