On the hyperbolic unitary geometry

K Altmann, Ralf Gramlich

Research output: Contribution to journalArticle

Abstract

Hans Cuypers (Preprint) describes a characterisation of the geometry on singular points and hyperbolic lines of a finite unitary space-the hyperbolic unitary geometry-using information about the planes. In the present article we describe an alternative local characterisation based on Cuypers' work and on a local recognition of the graph of hyperbolic lines with perpendicularity as adjacency. This paper can be viewed as the unitary analogue of the second author's article (J. Comb. Theory Ser. A 105:97-110, 2004) on the hyperbolic symplectic geometry.
Original languageEnglish
Pages (from-to)547-583
Number of pages37
JournalJournal of Algebraic Combinatorics
Volume31
Issue number4
DOIs
Publication statusPublished - 1 Jun 2010

Keywords

  • Root group geometry
  • Centralisers of involutions
  • Hyperbolic unitary geometry
  • Local recognition graphs

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