Tight sets and m-ovoids of generalised quadrangles

  title={Tight sets and m-ovoids of generalised quadrangles},
  author={John Bamberg and Maska Law and Tim Penttila},
The concept of a tight set of points of a generalised quadrangle was introduced by S. E. Payne in 1987, and that of an m-ovoid of a generalised quadrangle was introduced by J. A. Thas in 1989, and we unify these two concepts by defining intriguing sets of points. We prove that every intriguing set of points in a generalised quadrangle is an m-ovoid or a tight set, and we state an intersection result concerning these objects. In the classical generalised quadrangles, we construct new m-ovoids… 
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