Abstract
In this chapter we study the group G = Aut(C) of automorphisms of an octonion algebra C over a field k. By “automorphism” we will in this chapter always understand a linear automorphism. Since automorphisms leave the norm invariant, Aut(C) is a subgroup of the orthogonal group O(N) of the norm of C.
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© 2000 Springer-Verlag Berlin Heidelberg
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Springer, T.A., Veldkamp, F.D. (2000). The Automorphism Group of an Octonion Algebra. In: Octonions, Jordan Algebras and Exceptional Groups. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12622-6_2
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DOI: https://doi.org/10.1007/978-3-662-12622-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08563-5
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