### 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 language | English |
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Pages (from-to) | 449-469 |

Number of pages | 21 |

Journal | Advances in Geometry |

Volume | 13 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Jul 2013 |

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## Cite this

McInroy, J. F. (2013). Biaffine polar spaces.

*Advances in Geometry*,*13*(3), 449-469. https://doi.org/10.1515/advgeom-2012-0034