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Automorphisms of F 4 quadrangles

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Abstract

The goal of this article is to show that the automorphism group of a Moufang quadrangle of type F 4 is, up to field automorphisms, generated by the root groups.

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References

  1. De Medts, T.: An Algebraic Structure for Moufang Quadrangles. To appear in Mem. Am. Math. Soc.

  2. Mühlherr, B., Van Maldeghem, H.: Exceptional Moufang quadrangles of type~F 4. Canad. J. Math. 51, 347–371 (1999)

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  3. Tits, J.: Buildings of Spherical Type and Finite BN-Pairs. Lecture Notes in Mathematics 386, Springer-Verlag, New York/Heidelberg/Berlin, 1974

  4. Tits, J., Weiss, R.: Moufang Polygons. Springer Monographs in Mathematics, Springer- Verlag, Berlin/Heidelberg/New York, 2002

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Authors and Affiliations

  1. Department of Pure Mathematics and Computer Algebra, Ghent University, Galglaan 2, B-9000, Gent, Belgium

    Tom De Medts

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  1. Tom De Medts
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Correspondence to Tom De Medts.

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Mathematics Subject Classification (2000): 51E12, 15A63, 20E42

The author is a Research Assistant of the Fund for Scientific Research - Flanders (Belgium) (F.W.O.-Vlaanderen).

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Medts, T. Automorphisms of F 4 quadrangles. Math. Ann. 328, 399–413 (2004). https://doi.org/10.1007/s00208-003-0489-7

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  • DOI: https://doi.org/10.1007/s00208-003-0489-7

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