The second largest Erdős-Ko-Rado sets of generators of the hyperbolic quadrics ${\mathcal{Q}}^{+}(4n+1,q)$

Abstract

An Erdős-Ko-Rado set of generators of a hyperbolic quadric is a set of generators which are pairwise not disjoint. In this article we classify the second largest maximal Erdős-Ko-Rado set of generators of the hyperbolic quadrics ${\mathcal{Q}}^{+}(4n+1,q)$, $q\ge 3$.