The geometry of hyperbolic lines in polar spaces

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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.
Original languageEnglish
Article number1707.02099
Number of pages24
JournalarXiv
Volume2017
Publication statusPublished - 7 Jul 2017

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