4 problems

Let ${\mit \Gamma}$ be the group with generators $\rho_0,\ldots,\rho_5$ and the standard Coxeter relations for the Schl"afli type $\{3,3,3,4,3\}$, together with the extra relation…

Let $G$ be a finite C-group, and let $d(G)$ denote the minimum number of generators of $G$. Let $d(Z(G))$ denote the minimum number of generators of the center $Z(G)$. Polynomial-b…

Let $G$ be a reductive group over $\mathbb Q$, let $\widetilde G$ be its canonical extension by $\mathbb G_m$, and let ${}^CG={}^L\widetilde G$. Let $\pi$ be a discrete automorphic…

The C-group Hodge–Tate conjecture. Then