The extended structure group of an alternative algebra

The extended structure group of an alternative algebra and various canonical subgroups are defined and investigated. Using the principle of triality, natural sets of generators for these groups in the case of octonion algebras are exhibited.

This paper has appeared in Abh. Math. Sem. Univ. Hamburg 72 (2002), 165 - 186, under the title: "The structure group of an alternative algebra". Electronic versions are available from

http://www.fernuni-hagen.de/MATHEMATIK/ALGGEO/Petersson/pub.htm

Holger P. Petersson < holger.petersson@fernuni-hagen.de >