3 problems

Let $G$ be a CAT(0) group, meaning a group acting geometrically on a CAT(0) space, and suppose that $G$ contains a rank-one element. Quotient conjecture. $G$ has a proper quotient…

A small cancellation algebra is an associative algebra defined by generators and relations satisfying suitable small cancellation conditions. Gromov's conjecture. Every small cance…

Irreducible curvature bounds of few-relator complexes. The probability that $\rho_+(X)=\kappa(X)$ tends to $1$ as $l\to\infty$. In particular, with high probability, $\rho_+(X)<0$…