3 problems

Let $L$ be a flag complex, let $M$ be a covering of $L$, let $S\subseteq\mathbb Z$ be periodic, and let $G_L^M(S)$ denote the associated generalized Bestvina–Brady group. Write…

Deficiency growth conjecture. If $\Sigma$ is not simply connected, then

Bounded presentation complexity conjecture. The number of relations required to present $\Gamma_n$ remains bounded as $n$ increases if and only if $H_{\Sigma}$ is finitely presente…