# 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} }

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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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 27 REFERENCES

## Large subgroups of simple groups

VIEW 12 EXCERPTS

HIGHLY INFLUENTIAL

## The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Analysing Finite Locally s-arc Transitive Graphs

VIEW 10 EXCERPTS

## A Characterization of some Rank 2 Incidence Geometries by their Automorphism Group

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Finite distance-transitive generalized polygons

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## ATLAS of Finite Groups

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## The nonexistence of certain generalized polygons

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Locally 2-arc-transitive complete bipartite graphs

VIEW 1 EXCERPT