The Automorphism Group of an Octonion Algebra

  • Tonny A. Springer
  • Ferdinand D. Veldkamp
Part of the Springer Monographs in Mathematics book series (SMM)


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.


Automorphism Group Algebraic Group Invariant Subspace Maximal Torus Orthogonal Group 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Tonny A. Springer
    • 1
  • Ferdinand D. Veldkamp
  1. 1.Mathematisch InstituutUtrechtThe Netherlands

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