Bipartite $q$-Kneser graphs and two-generated irreducible linear groups

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger

Let $V:=({\mathbb{F}}_q{)}^d$ be a $d$-dimensional vector space over the field ${\mathbb{F}}_q$ of order $q$. Fix positive integers $e_1,e_2$ satisfying $e_1+e_2=d$. Motivated by analysi…