Biaffine polar spaces

Research output: Contribution to journalArticle (Academic Journal)

2 Citations (Scopus)

Abstract

Let Π be a thick polar space of rank n ≥ 3. Pick a hyperplane F of Π and Η of Π. Define the elements of a biaffine polar space Γ to be those elements of Π which are not contained in F, or dually in Η. We show that Γ is a simply connected geometry, except for a few small exceptions for Π. We give a construction that leads to flag-transitive examples.
Original languageEnglish
Pages (from-to)449-469
Number of pages21
JournalAdvances in Geometry
Volume13
Issue number3
DOIs
Publication statusPublished - 1 Jul 2013

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