Generalized hexagons of even order

Binary codes of the symplectic generalized quadrangle of even order

Let q be a prime power and W (q) be the symplectic generalized quadrangle of order q. For q even, let O (respectively, E , T ) be the binary linear code spanned by the ovoids (respectively, elliptic ovoids, Tits ovoids) of W (q) and Γ be the graph defined on the set of ovoids ofW (q) in which two ovoids are adjacent if they intersect at one point. For A ∈ {E , T ,O}, we describe the codewords o...

The Code of a Regular Generalized Quadrangle of Even Order

Primitive flag-transitive generalized hexagons and octagons

Suppose that an automorphism group G acts flag-transitively on a finite generalized hexagon or octagon S, and suppose that the action on both the point and line set is primitive. We show that G is an almost simple group of Lie type, that is, the socle of G is a simple Chevalley group.

Extended Generalized Hexagons and the Suzuki Chain

Four extended generalized hexagons related to the simple groups G2(2)', PSU4(3), HJ and Suz are characterized by the condition that any triple of points {x, y, z) is a clique of the point graph not in a circle of the extended hexagon if and only if the distance of y and z in the residue at x is 3.

Ovoids and Spreads of Finite Classical Generalized Hexagons and Applications