# A classification of finite antiflag-transitive generalized quadrangles

@article{Bamberg2015ACO,
title={A classification of finite antiflag-transitive generalized quadrangles},
author={John Bamberg and Cai Heng Li and Eric Swartz},
journal={arXiv: Combinatorics},
year={2015},
pages={1551-1601}
}
• 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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