Bijection Between Point-Hyperplane Anti-Flags of $V(n, 2)$ and Non-Singular Points of $O^+(2n, 2)$
Ferdinand Ihringer, Antonio Pasini
公開日: 2025/9/18
Abstract
We give a bijection between the point-hyperplane antiflags of $V(n, 2)$ and the non-singular points of $V(2n, 2)$ with respect to a hyperbolic quadric. With the help of this bijection, we give a description of the strongly regular graph $NO^+(2n, 2)$ in $V(2n, 2)$. We also describe a graph in $V(2n, 2)$ that was recently defined by Stanley and Takeda in $V(n, 2)$.