8 problems

Let $G$ be an abstract group, and let $\EuScript{L}$ be a lattice of its subgroups. The lattice admits sandwich classification if it is a disjoint union of intervals … where each…

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 $R$ be a principal ideal domain, let $\Phi$ be an irreducible root system of rank at least $3$, and let $I$ be a non-trivial principal ideal of $R$. For $x\in I$,…

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…

Let $G$ be a Chevalley group and let $S$ be a sufficiently large subsystem subgroup of $G$. The subgroups of $G$ containing $S$ form a lattice. Vavilov's sandwich-classification co…

Integral Chevalley group conjecture. Theorem should hold for any integrable highest weight module $V^\lambda$ such that $L_{V^\lambda}=P$.

Removal conjecture. The term $r^{1/2}p^{3r^{1/2}}$ can be removed from this bound, so the number of conjugacy classes of maximal subgroups is at most a constant multiple of…