The automorphisms of 𝑂⁺₄ (𝑉) in the anisotropic case

Connors, Edward A.

doi:10.1090/S0002-9939-1976-0389766-3

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The automorphisms of $O^{+}_{4}$ $(V)$ in the anisotropic case
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by Edward A. Connors PDF

Proc. Amer. Math. Soc. 54 (1976), 16-18 Request permission

Abstract:

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

References

Jean Dieudonné, La géométrie des groupes classiques, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963 (French). Seconde édition, revue et corrigée. MR 0158011, DOI 10.1007/978-3-662-59144-4
O. T. O’Meara, The automorphisms of the orthogonal groups $\Omega _{n}\,(V)$ over fields, Amer. J. Math. 90 (1968), 1260–1306. MR 237659, DOI 10.2307/2373300
María J. Wonenburger, The automorphisms of $PS_{4}{}^{+}\,(Q)$, Rev. Mat. Hisp.-Amer. (4) 22 (1962), 185–195. MR 148772

Additional Information

Journal: Proc. Amer. Math. Soc. 54 (1976), 16-18
DOI: https://doi.org/10.1090/S0002-9939-1976-0389766-3
MathSciNet review: 0389766