## A geometric characterization of the Hjelmslev-Moufang planes Ghent University

Hjelmslev-Moufang planes are point-line geometries related to the exceptional algebraic groups of type E6. More generally, point-line geometries related to spherical Tits-buildingsU+2014Lie incidence geometriesU+2014are the prominent examples of parapolar spaces: axiomatically defined geometries consisting of points, lines and symplecta (structures isomorphic to polar spaces). In this paper we classify the parapolar spaces with a similar ...