A classification of finite antiflag-transitive generalized quadrangles

  title={A classification of finite antiflag-transitive generalized quadrangles},
  author={John Bamberg and Cai Heng Li and Eric Swartz},
  journal={arXiv: Combinatorics},
  • John Bamberg, Cai Heng Li, Eric Swartz
  • Published 2015
  • Mathematics
  • arXiv: Combinatorics
  • A generalized quadrangle is a point-line incidence geometry $\mathcal{Q}$ such that: (i) any two points lie on at most one line, and (ii) given a line $\ell$ and a point $P$ not incident with $\ell$, there is a unique point of $\ell$ collinear with $P$. The finite Moufang generalized quadrangles were classified by Fong and Seitz (1973), and we study a larger class of generalized quadrangles: the \emph{antiflag-transitive} quadrangles. An antiflag of a generalized quadrangle is a non-incident… CONTINUE READING
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