We consider flag-transitive $L.L^*$-geometries where the residues of the planes are finite non-degenerate projective spaces of dimension at least 3 and the residues of the points are their duals. We prove that every geometry as above is a truncation of a building of type $D_n$, for a suitable $n$ depending on the orders of that geometry.
Cardinali, I., Pasini, A. (2001). A characterization of truncated Dn-buildings as flag-transitive PG·PG*-geometries. In Finite Geometries – Proceedings of the 4th Isle of Thorns Conference, Volume 3 of Developments on Mathematics (pp.99-119). Kluwer Academic Publisher.
A characterization of truncated Dn-buildings as flag-transitive PG·PG*-geometries
I. CARDINALI;PASINI A.
2001-01-01
Abstract
We consider flag-transitive $L.L^*$-geometries where the residues of the planes are finite non-degenerate projective spaces of dimension at least 3 and the residues of the points are their duals. We prove that every geometry as above is a truncation of a building of type $D_n$, for a suitable $n$ depending on the orders of that geometry.
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https://hdl.handle.net/11365/36294
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