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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The automorphisms of $ O\sp{+}\sb{4}$ $ (V)$ in the anisotropic case


Author: Edward A. Connors
Journal: Proc. Amer. Math. Soc. 54 (1976), 16-18
DOI: https://doi.org/10.1090/S0002-9939-1976-0389766-3
MathSciNet review: 0389766
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Abstract | References | Additional Information

Abstract: The automorphisms of the rotation group of a quaternary anisotropic quadratic space defined over a field of characteristic not two are determined.


References [Enhancements On Off] (What's this?)

  • [1] J. Dieudonné, La géométrie des groupes classiques, 2ième éd., Springer-Verlag, Berlin, 1963. MR 28 #1239. MR 0158011 (28:1239)
  • [2] O. T. O'Meara, The automorphisms of the orthogonal groups $ {\Omega _n}(V)$ over fields, Amer. J. Math. 90 (1968), 1260-1306. MR 38 #5940. MR 0237659 (38:5940)
  • [3] Maria Wonenburger, The automorphisms of $ P{S_4}^ + (Q)$, Rev. Mat. Hisp.-Amer. (4) 22 (1962), 185-195. MR 26 #6278. MR 0148772 (26:6278)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0389766-3
Keywords: Automorphism, orthogonal group, rotation group, involution, Fundamental Theorem of Projective Geometry
Article copyright: © Copyright 1976 American Mathematical Society

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