2 problems

Torsion conjecture. The homology of $\operatorname{Hom}(\mathbb{Z}^m,G)_1$ has $p$-torsion if and only if $p$ divides the order of $W$.

Silvestrov's conjecture. Two commuting elements in the general algebra $H_K(q)$ should lie on an algebraic curve, and the eliminant construction of Burchnall and Chaundy should pro…