English

The geometry of hyperbolic lines in polar spaces

Combinatorics 2017-07-10 v1

Abstract

In this paper we consider partial linear spaces induced on the point set of a polar space, but with as lines the hyperbolic lines of this polar space. We give some geometric characterizations of these and related spaces. The results have applications in group theory, in the theory of Lie algebras and in graph theory.

Keywords

Cite

@article{arxiv.1707.02099,
  title  = {The geometry of hyperbolic lines in polar spaces},
  author = {Hans Cuypers},
  journal= {arXiv preprint arXiv:1707.02099},
  year   = {2017}
}