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On a Connection between Ovoids on the Hyperbolic Quadric Q +(10, q) and the Lie Incidence Geometry E 6,1(q)

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Groups and Geometries

Part of the book series: Trends in Mathematics ((TM))

Abstract

It is demonstrated that the existence of an ovoid on the hyperbolic quadric Q+(10, q) implies the existence of a co-clique of maximal possible cardinality in the collinear graph of the Lie Incidence Geometry E 6,1(q).

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of California, Santa Cruz, Santa Cruz, CA, 95064, USA

    Bruce N. Cooperstein

Authors
  1. Bruce N. Cooperstein
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Siena, Via del Capitano 15, 53100, Siena, Italy

    Antonio Pasini

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© 1998 Springer Basel AG

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Cooperstein, B.N. (1998). On a Connection between Ovoids on the Hyperbolic Quadric Q +(10, q) and the Lie Incidence Geometry E 6,1(q). In: di Martino, L., Kantor, W.M., Lunardon, G., Pasini, A., Tamburini, M.C. (eds) Groups and Geometries. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8819-6_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8819-6_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9785-3

  • Online ISBN: 978-3-0348-8819-6

  • eBook Packages: Springer Book Archive

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