Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter July 11, 2013

Biaffine polar spaces

  • Justin McInroy EMAIL logo
From the journal Advances in Geometry

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.

Published Online: 2013-07-11
Published in Print: 2013-07

© 2013 by Walter de Gruyter GmbH & Co.

Downloaded on 19.3.2024 from https://www.degruyter.com/document/doi/10.1515/advgeom-2012-0034/html
Scroll to top button