Generating sets of cardinality 2 are constructed for the unitary dual polar space DUÂ…2nÂ‡ 1; q2Â† and the elliptic orthogonal dual polar space DOÃ¿Â…2nÂ‡ 2; qÂ†. It is shown that the elliptic dual polarâ€¦ (More)

We assume the reader is familiar with the basic definitions relating to graphs and pointâ€“line geometries (as a standard reference see [1]) and in particular, the distance function, a geodesic path,â€¦ (More)

We assume the reader is familiar with the basic definitions relating to undirected graphs and linear incidence system or point-line geometry (as a standard reference see [2]). In particular: theâ€¦ (More)

We give a construction which takes a rank two incidence geometry with three points on a line and returns a geometry of the same type, i.e., with three points on a line. It is also demonstrated thatâ€¦ (More)

In [10], one of the authors proved that there are 6 isomorphism classes of hyperplanes in the dual polar space DW (5, q), q even, which arise from its Grassmann-embedding. In the present paper, weâ€¦ (More)

Let V be a non-degenerate symplectic space of dimension 2n over the field F and for a natural number l < n denote by Cl(V ) the incidence geometry whose points are the totally isotropic l-dimensionalâ€¦ (More)