Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-08T00:23:49.332Z Has data issue: false hasContentIssue false

Automorphism Groups of Jordan Algebras

Published online by Cambridge University Press:  22 January 2016

E. Ray Bobo*
Affiliation:
Georgetown University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In his development of a structure theory for Jordan algebras of characteristic two, E.C. Paige [1] introduces an important class of central simple Jordan algebras S[2n], It is the purpose of this paper to completely determine the automorphism groups of the algebras S[2n]. The automorphisms will be represented as matrices operating on a natural basis for the underlying vector space of the algebra. Using this characterization, generators and relations will be obtained for each of the automorphism groups. In this way, we will produce an infinite family of finite 2-groups.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

[1] Paige, E.C. Jr: Jordan Algebras of Characteristic Two, Dissertation, University of Chicago, Chicago, Illinois, (1954).Google Scholar