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…

Factor-system conjecture. Every cubical group admits a factor system.

Let $L$ be a flag complex, let $M$ be a covering of $L$, let $S\subseteq\mathbb Z$ satisfy $S+n=S$ for some $n>0$, and let $G_L^M(S)\rtimes n\mathbb Z$ be the associated CAT(0) cub…