EKR Results for Some Cuspidal Representations

Jiaqi Liao

Let ${\mathcal{S}}_{\chi }$ be a cuspidal representation of ${\mathrm{GL}}_2(q)$. A subset $S\subseteq {\mathrm{GL}}_2(q)$ is $t$-intersecting if $\dim_{\mathbb{C}}\{v \in \mathcal{S}_χ: g_1v…