4 problems

Let ${\mathfrak{O}}$ be a Euclidean number ring and let ${\mathcal{G}}$ be a Chevalley–Demazure group scheme. Brück–Santos Rego–Sroka's conjecture. … This conjecture extends known…

Super tight programme conjecture. The group $G$ is isomorphic to a Chevalley group $X(K)$ over an algebraically closed field $K$ of characteristic different from $2$.

Let $G_\Phi(R)$ be a Chevalley group associated with a root system $\Phi$ over a ring $R$, and let $H$ be a group isotypic to $G_\Phi(R)$. Isotypic rigidity conjecture for Chevalle…

For a fixed prime $p$, let $G_q$ be a family of Chevalley groups of fixed Lie type over $\mathbb{F}_q$, where $q=p^n$ varies. For a fixed word $w\in F_d$, with $d\ge 2$, let … be t…