Regular ovoids and Cameron-Liebler sets of generators in polar spaces
Combinatorics
2023-10-24 v1
Abstract
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.
Cite
@article{arxiv.2310.14739,
title = {Regular ovoids and Cameron-Liebler sets of generators in polar spaces},
author = {Maarten De Boeck and Jozefien D'haeseleer and Morgan Rodgers},
journal= {arXiv preprint arXiv:2310.14739},
year = {2023}
}