On collineations and dualities of finite generalized polygons

@article{Temmermans2009OnCA,
  title={On collineations and dualities of finite generalized polygons},
  author={Beukje Temmermans and Joseph A. Thas and Hendrik Van Maldeghem},
  journal={Combinatorica},
  year={2009},
  volume={29},
  pages={569-594}
}
In this paper we generalize a result of Benson to all finite generalized polygons. In particular, given a collineation θ of a finite generalized polygon S, we obtain a relation between the parameters of S and, for various natural numbers i, the number of points x which are mapped to a point at distance i from x by θ. As a special case we consider generalized 2n-gons of order (1, t) and determine, in the generic case, the exact number of absolute points of a given duality of the underlying… CONTINUE READING

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