The geometry of hyperbolic lines in polar spaces
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keywords
linespolarspacestheoryhyperbolicspacealgebrasapplications
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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.
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