Automorphism groups of Cayley-Dickson loops
Group Theory
2012-04-24 v2 Rings and Algebras
Abstract
The Cayley-Dickson loop Q_n 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, sedenions). We discuss properties of the Cayley-Dickson loops, show that these loops are Hamiltonian, and describe the structure of their automorphism groups.
Cite
@article{arxiv.1102.5151,
title = {Automorphism groups of Cayley-Dickson loops},
author = {Jenya Kirshtein},
journal= {arXiv preprint arXiv:1102.5151},
year = {2012}
}
Comments
15 pages