Journal of Generalized Lie Theory and Applications

Automorphism Groups of Cayley-Dickson Loops

Jenya Kirshtein

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The Cayley-Dickson $Q_n$ loop is the multiplicative closure of basic elements of the algebra constructed by n applications of the Cayley-Dickson doubling process (the first few examples of such algebras are real numbers, complex numbers, quaternions, octonions, and sedenions).We discuss properties of the Cayley-Dickson loops, show that these loops are Hamiltonian, and describe the structure of their automorphism groups.

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J. Gen. Lie Theory Appl., Volume 6 (2012), 15 pages.

First available in Project Euclid: 15 September 2017

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Kirshtein, Jenya. Automorphism Groups of Cayley-Dickson Loops. J. Gen. Lie Theory Appl. 6 (2012), 15 pages.

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  • Jenya Kirshtein. Automorphism groups of Cayley-Dickson loops.