3 problems

Small cancellation torsion subgroup conjecture. Every torsion subgroup of $G$ is finite.

Let $G$ be a finitely generated group defined by an infinite presentation satisfying the small cancellation condition $C'(1/10)$. Weak amenability and $C^*$-exactness (equivalently…

Kapovich–Weidmann higher-stabilization conjecture. For every $1\le t<m$, the generating $(k+t)$-tuple $(a_1,\ldots,a_k,1,\ldots,1)$ is not equivalent to a $(k+t)$-tuple of type…