4 problems

Let $P,Q\in\mathcal{O}$, let $h\in G$, and let $x\in\operatorname{GL}(4,q)$. Define … Regard the four equations in as simultaneous linear equations in the variables $\alpha^{nt}$ f…

Suzuki-group monodromy conjecture. The geometric monodromy group of ${\mathcal F}_q$ should be the Suzuki group ${}^2\!B_2(q)$ in one of its two lowest-dimensional nontrivial irred…

The edge-girth conjecture. The family of graphs $\mathcal G_q(V,E)$ is a family of

Let $q$ be one of the field sizes considered for the Suzuki group, let $g$ be the element defining the cosets, and let $\langle g\rangle$ denote the subgroup generated by $g$. Cons…