New flag-transitive geometries for the groups Sp4(K) and SU5(K)

Justin F McInroy, Harm Pralle, Sergey Shpectorov

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

In Pralle and Shpectorov (Adv Geom 7(1):1–17, 2007) the class of ovoidal hyperplanes in dual polar spaces of rank 4 is described. In this paper we observe that by removing such a hyperplane and a related second hyperplane one obtains a nice geometry for the group stabilising the ovoidal hyperplane. We show that this group acts flag-transitively and that the geometry is simply connected.
Original languageEnglish
Pages (from-to)65-82
Number of pages18
JournalGeometriae Dedicata
Volume173
Issue number1
Early online date25 Oct 2013
DOIs
Publication statusPublished - 2014

Keywords

  • GEOMETRY
  • Polar space
  • HYPERPLANES
  • ovoidal hyperplane
  • flag-transitive
  • affine
  • Biaffine

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