Quaternion algebras over elliptic curves: Communications in Algebra: Vol 26, No 12

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Abstract

All composition algebras of rank 2 and 4 over elliptic curves are enumerated and partly classified, and examples of octonion algebras are constructed using the generalized Cayley-Dickson doubling process. The underlying field is assumed to be perfect, and of characteristic not two. Some applications are given.

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Quaternion algebras over elliptic curves

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Quaternion algebras over elliptic curves

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