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

Abstract

An Erd\H{o}s-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 Erd\H{o}s-Ko-Rado set of generators of the hyperbolic quadrics $\mathcal{Q}^{+}(4n+1,q)$, $q\geq3$.