25 research outputs found
An infinite family of -ovoids of the hyperbolic quadrics
An infinite family of -ovoids of , , admitting the group , is constructed. The main
tool is the general theory of generalized hexagons.Comment: 9 page
Perfect 2-colorings of the grassmann graph of planes
We construct an infinite family of intriguing sets, or equivalently perfect 2-colorings, that are not tight in the Grassmann graph of planes of PG(n, q), n ≥ 5 odd, and show that the members of the family are the smallest possible examples if n ≥ 9 or q ≥ 25
Regular ovoids and Cameron-Liebler sets of generators in polar spaces
Cameron-Liebler sets of generators in polar spaces were introduced a few
years ago as natural generalisations of the Cameron-Liebler sets of subspaces
in projective spaces. In this article we present the first two constructions of
non-trivial Cameron-Liebler sets of generators in polar spaces. Also regular
m-ovoids of k-spaces are introduced as a generalization of m-ovoids of polar
spaces. They are used in one of the aforementioned constructions of
Cameron-Liebler sets