Bruce N. Cooperstein

MINIMAL DEGREE FOR A PERMUTATION REPRESENTATION OF A CLASSICAL GROUP

The minimal degree for a permutation representation of the finite linear groups, and finite classical groups is determined.

A characterization of some geometries of Lie type

For geometries associated with permutation representations of the groups of Lie type E6, E7, E8 on certain maximal parabolic subgroups (e.g. the stabilizers of root subgroups), axiom systems are given that characterize them in terms of points and lines.

On the Generation of Dual Polar Spaces of Symplectic Type over Finite Fields

It is demonstrated that the dual polar space of typeSp2n(q),q>2, can be generated as a geometry by[formula]points.

Frames and bases of Lie incidence geometries

AbstractFor a rank two incidence system

On the Generation of Some Dual Polar Spaces of Symplectic Type OverGF(2)

(\mathcal{P}, \mathcal{L})

Lie incidence systems from projective varieties

and a projective embedding

External Flats to Varieties in PG(∧2(V)) Over Finite Fields

e:(\mathcal{P}, \mathcal{L}) \to \mathbb{P}\mathbb{G}(V)