4 problems

Let $G$ be a special group. A DLS automorphism is one of the automorphisms appearing in Theorems and; those appearing in Theorem are the relevant ones for…

Let $G\curvearrowright X$ be a virtually special cubulated group, and let a collection of subgroups of $G$ be almost malnormal if distinct subgroups in the collection have finite-i…

Uniform spectral gap conjecture. There is a uniform constant $B>0$ such that any hyperbolic $C$-special or $A$-special group has a spectral gap $B$ for integral chains.

Let $G$ be a virtually cocompact special group. An acylindrically hyperbolic automorphism-group conjecture. If $G$ is acylindrically hyperbolic, then its automorphism group … is ac…