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On Hjelmslev-Moufang planes

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References

  1. Blij, F. van der, and T. A. Springer: Octaves and triality. Nieuw Archief voor Wiskunde (3)8, 158–169 (1960).

    Google Scholar 

  2. Freudenthal, H.: Oktaven, Ausnahmegruppen und Oktavengeometrie. Utrecht 1951 (Neuauflage 1960) (Mimeographed).

  3. —: Zur ebenen Oktavengeometrie. Proc. Akad. Amsterdam A56 (=Indag. Math.15), 195–200 (1953).

    Google Scholar 

  4. —: Beziehungen derE 7 undE 8 zur Oktavenebene I. Proc. Akad. Amsterdam A57 (=Indag. Math.16), 218–230 (1954), VIII, ibid. A62 (=Indag. Math.21), 447–465 (1959).

    Google Scholar 

  5. Springer, T. A.: On a class of Jordan algebras. Proc. Akad. Amsterdam A62 (=Indag. Math.21), 254–264 (1959).

    Google Scholar 

  6. Springer, T. A.: The projective octave plane.Ibid A63 (=Indag. Math.22), 74–101 (1960).

    Google Scholar 

  7. —: Characterization of a class of cubic forms.Ibid. A65 (=Indag. Math.24), 259–265 (1962).

    Google Scholar 

  8. —: On the geometric algebra of octave planes.Ibid.24 451–468 (1962).

    Google Scholar 

  9. Springer, T. A., and F. D. Veldkamp: Elliptic and hyperbolic octave planes. Proc. Akad. Amsterdam A66 (=Indag. Math.25), 413–451 (1963).

    Google Scholar 

  10. Tits, J.: Sur la géométrie desR-espaces. J. de Math.36, 17–38 (1957).

    Google Scholar 

  11. Tits, J.: Les “formes réelles” des groupes de typeE 6. Sém. Bourbaki 1957/1958, exposé 162.

  12. Veldkamp, F. D.: Polar geometry. Proc. Akad. Amsterdam A62 (=Indag. Math.21), 512–551 (1959).

    Google Scholar 

  13. —: Unitary groups in projective octave planes. Compositio Math.19, 213–258 (1968).

    Google Scholar 

  14. Veldkamp, F. D.: Collineation groups in Hjelmslev-Moufang planes. (To appear in Math. Zeitschr.)

  15. Veldkamp, F. D. Unitary groups in Hjelmslev-Moufang planes. (To appear in Math. Zeitschr.)

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  1. Mathematisch Instituut Budapestlaan, Uithof, Utrecht, Niederlande

    Tonny A. Springer & Ferdinand D. Veldkamp

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  1. Tonny A. Springer
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  2. Ferdinand D. Veldkamp
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Springer, T.A., Veldkamp, F.D. On Hjelmslev-Moufang planes. Math Z 107, 249–263 (1968). https://doi.org/10.1007/BF01110014

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