G R ] 1 7 M ay 2 00 8 A Quasi Curtis-Tits-Phan theorem for the symplectic group

We obtain the symplectic group Sp(V ) as the universal completion of an amalgam of low rank subgroups akin to Levi components. We let Sp(V ) act flag-transitively on the geometry of maximal rank subspaces of V . We show that this geometry and its rank ≥ 3 residues are simply connected with few exceptions. The main exceptional residue is described in some… CONTINUE READING