Abstract
From the Hermitian spread in the generalized hexagon H (q), we construct a certain geometry Γ S , which is a generalized quadrangle. The fact that Γ S is a generalized quadrangle turns out to characterize the Hermitian spread as a spread of H (q). Furthermore, we give a characterization of this spread using the group of projectivities induced by the spread lines.
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© 2001 Kluwer Academic Publishers
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Govaert, E., Van Maldeghem, H. (2001). Two Characterizations of the Hermitian Spread in the Split Cayley Hexagon. In: Blokhuis, A., Hirschfeld, J.W.P., Jungnickel, D., Thas, J.A. (eds) Finite Geometries. Developments in Mathematics, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0283-4_11
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DOI: https://doi.org/10.1007/978-1-4613-0283-4_11
Publisher Name: Springer, Boston, MA
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